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120943152 = 24331131821
BaseRepresentation
bin1110011010101…
…11001000110000
322102120112211000
413031113020300
5221430140102
620000122000
72665666641
oct715271060
9272515730
10120943152
11622a6420
1234606300
131c0972c5
14120c36c8
15a94001c
hex7357230

120943152 has 160 divisors (see below), whose sum is σ = 391403520. Its totient is φ = 35424000.

The previous prime is 120943127. The next prime is 120943159. The reversal of 120943152 is 251349021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120943159) 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 31 ways as a sum of consecutive naturals, for example, 146902 + ... + 147722.

It is an arithmetic number, because the mean of its divisors is an integer number (2446272).

Almost surely, 2120943152 is an apocalyptic number.

120943152 is a gapful number since it is divisible by the number (12) 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 120943152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195701760).

120943152 is an abundant number, since it is smaller than the sum of its proper divisors (270460368).

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

120943152 is a wasteful number, since it uses less digits than its factorization.

120943152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120943152 is about 10997.4156964261. The cubic root of 120943152 is about 494.5312734642.

The spelling of 120943152 in words is "one hundred twenty million, nine hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 821 837 1023 1116 1188 1364 1488 1584 1642 1674 2046 2232 2376 2463 2728 3069 3284 3348 4092 4464 4752 4926 5456 6138 6568 6696 7389 8184 9031 9207 9852 12276 13136 13392 14778 16368 18062 18414 19704 22167 24552 25451 27093 29556 36124 36828 39408 44334 49104 50902 54186 59112 72248 73656 76353 81279 88668 101804 108372 118224 144496 147312 152706 162558 177336 203608 216744 229059 243837 279961 305412 325116 354672 407216 433488 458118 487674 559922 610824 650232 687177 839883 916236 975348 1119844 1221648 1300464 1374354 1679766 1832472 1950696 2239688 2519649 2748708 3359532 3664944 3901392 4479376 5039298 5497416 6719064 7558947 10078596 10994832 13438128 15117894 20157192 30235788 40314384 60471576 120943152