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120045032960 = 295611276053
BaseRepresentation
bin110111111001100111…
…1011101011000000000
3102110212010220112002212
41233303033131120000
53431323012023320
6131051541401252
711446553641556
oct1576317353000
9373763815085
10120045032960
1146a02323046
121b322a09228
13b4216239a8
145b4b309bd6
1531c8ded9c5
hex1bf33dd600

120045032960 has 160 divisors (see below), whose sum is σ = 294897411072. Its totient is φ = 46851194880.

The previous prime is 120045032929. The next prime is 120045032969. The reversal of 120045032960 is 69230540021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120045032969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19829294 + ... + 19835346.

Almost surely, 2120045032960 is an apocalyptic number.

120045032960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120045032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147448705536).

120045032960 is an abundant number, since it is smaller than the sum of its proper divisors (174852378112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120045032960 is an equidigital number, since it uses as much as digits as its factorization.

120045032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 120045032960 its reverse (69230540021), we get a palindrome (189275572981).

The spelling of 120045032960 in words is "one hundred twenty billion, forty-five million, thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 127 128 160 244 254 256 305 320 488 508 512 610 635 640 976 1016 1220 1270 1280 1952 2032 2440 2540 2560 3904 4064 4880 5080 6053 7747 7808 8128 9760 10160 12106 15494 15616 16256 19520 20320 24212 30265 30988 31232 32512 38735 39040 40640 48424 60530 61976 65024 77470 78080 81280 96848 121060 123952 154940 156160 162560 193696 242120 247904 309880 325120 369233 387392 484240 495808 619760 738466 768731 774784 968480 991616 1239520 1476932 1537462 1549568 1846165 1936960 1983232 2479040 2953864 3074924 3099136 3692330 3843655 3873920 3966464 4958080 5907728 6149848 7384660 7687310 7747840 9916160 11815456 12299696 14769320 15374620 15495680 19832320 23630912 24599392 29538640 30749240 46892591 47261824 49198784 59077280 61498480 93785182 94523648 98397568 118154560 122996960 187570364 189047296 196795136 234462955 236309120 245993920 375140728 393590272 468925910 472618240 491987840 750281456 937851820 945236480 983975680 1500562912 1875703640 1967951360 3001125824 3751407280 6002251648 7502814560 12004503296 15005629120 24009006592 30011258240 60022516480 120045032960