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120913992 = 23332997199
BaseRepresentation
bin1110011010100…
…00000001001000
322102112001211000
413031100001020
5221423221432
615555335000
72665515633
oct715200110
9272461730
10120913992
1162286521
12345b1460
131c086c54
14120b6c1a
15a93657c
hex7350048

120913992 has 128 divisors (see below), whose sum is σ = 352800000. Its totient is φ = 38320128.

The previous prime is 120913943. The next prime is 120913993. The reversal of 120913992 is 299319021.

It is a happy number.

It is a super-2 number, since 2×1209139922 = 29240386922752128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120913993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607509 + ... + 607707.

It is an arithmetic number, because the mean of its divisors is an integer number (2756250).

Almost surely, 2120913992 is an apocalyptic number.

120913992 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 120913992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400000).

120913992 is an abundant number, since it is smaller than the sum of its proper divisors (231886008).

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

120913992 is a wasteful number, since it uses less digits than its factorization.

120913992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 120913992 is about 10996.0898504878. The cubic root of 120913992 is about 494.4915256135.

The spelling of 120913992 in words is "one hundred twenty million, nine hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 97 108 116 174 194 199 216 232 261 291 348 388 398 522 582 597 696 776 783 796 873 1044 1164 1194 1566 1592 1746 1791 2088 2328 2388 2619 2813 3132 3492 3582 4776 5238 5373 5626 5771 6264 6984 7164 8439 10476 10746 11252 11542 14328 16878 17313 19303 20952 21492 22504 23084 25317 33756 34626 38606 42984 46168 50634 51939 57909 67512 69252 75951 77212 101268 103878 115818 138504 151902 154424 155817 173727 202536 207756 231636 303804 311634 347454 415512 463272 521181 559787 607608 623268 694908 1042362 1119574 1246536 1389816 1679361 2084724 2239148 3358722 4169448 4478296 5038083 6717444 10076166 13434888 15114249 20152332 30228498 40304664 60456996 120913992