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120318640 = 24513196089
BaseRepresentation
bin1110010101111…
…10101010110000
322101101211010221
413022332222300
5221300144030
615534502424
72660456131
oct712765260
9271354127
10120318640
1161a0a1a2
1234364a14
131bc08c80
1411d9dc88
15a869e7a
hex72beab0

120318640 has 80 divisors (see below), whose sum is σ = 317167200. Its totient is φ = 42080256.

The previous prime is 120318619. The next prime is 120318643. The reversal of 120318640 is 46813021.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (120318643) 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, 16716 + ... + 22804.

It is an arithmetic number, because the mean of its divisors is an integer number (3964590).

Almost surely, 2120318640 is an apocalyptic number.

120318640 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 120318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158583600).

120318640 is an abundant number, since it is smaller than the sum of its proper divisors (196848560).

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

120318640 is a wasteful number, since it uses less digits than its factorization.

120318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 120318640 is about 10968.9853678451. The cubic root of 120318640 is about 493.6786033602.

The spelling of 120318640 in words is "one hundred twenty million, three hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 6089 9880 12178 19760 24356 30445 48712 60890 79157 97424 115691 121780 158314 231382 243560 316628 395785 462764 487120 578455 633256 791570 925528 1156910 1266512 1503983 1583140 1851056 2313820 3007966 3166280 4627640 6015932 6332560 7519915 9255280 12031864 15039830 24063728 30079660 60159320 120318640