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120372752 = 24193153241
BaseRepresentation
bin1110010110010…
…11111000010000
322101111120101002
413023023320100
5221303412002
615540001132
72661102653
oct713137020
9271446332
10120372752
1161a46915
12343901a8
131bc277a6
1411db589a
15a87b002
hex72cbe10

120372752 has 80 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 53913600.

The previous prime is 120372751. The next prime is 120372787. The reversal of 120372752 is 257273021.

It is not an unprimeable number, because it can be changed into a prime (120372751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499352 + ... + 499592.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2120372752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120372752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

120372752 is an abundant number, since it is smaller than the sum of its proper divisors (138896368).

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

120372752 is a wasteful number, since it uses less digits than its factorization.

120372752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 120372752 is about 10971.4516815233. The cubic root of 120372752 is about 493.7526011293.

The spelling of 120372752 in words is "one hundred twenty million, three hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 31 38 53 62 76 106 124 152 212 241 248 304 424 482 496 589 848 964 1007 1178 1643 1928 2014 2356 3286 3856 4028 4579 4712 6572 7471 8056 9158 9424 12773 13144 14942 16112 18316 25546 26288 29884 31217 36632 51092 59768 62434 73264 102184 119536 124868 141949 204368 242687 249736 283898 395963 485374 499472 567796 791926 970748 1135592 1583852 1941496 2271184 3167704 3882992 6335408 7523297 15046594 30093188 60186376 120372752