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120234880 = 2751743257
BaseRepresentation
bin1110010101010…
…10001110000000
322101020120020201
413022222032000
5221240004010
615533014544
72656660003
oct712521600
9271216221
10120234880
1161962277
1234324454
131bba9acc
1411d7b53a
15a85023a
hex72aa380

120234880 has 128 divisors (see below), whose sum is σ = 312634080. Its totient is φ = 44040192.

The previous prime is 120234871. The next prime is 120234911. The reversal of 120234880 is 88432021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1202348802 = 28912852737228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467712 + ... + 467968.

Almost surely, 2120234880 is an apocalyptic number.

120234880 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 120234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156317040).

120234880 is an abundant number, since it is smaller than the sum of its proper divisors (192399200).

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

120234880 is a wasteful number, since it uses less digits than its factorization.

120234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 120234880 is about 10965.1666654000. The cubic root of 120234880 is about 493.5640184022.

The spelling of 120234880 in words is "one hundred twenty million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 128 136 160 170 172 215 257 272 320 340 344 430 514 544 640 680 688 731 860 1028 1088 1285 1360 1376 1462 1720 2056 2176 2570 2720 2752 2924 3440 3655 4112 4369 5140 5440 5504 5848 6880 7310 8224 8738 10280 10880 11051 11696 13760 14620 16448 17476 20560 21845 22102 23392 27520 29240 32896 34952 41120 43690 44204 46784 55255 58480 69904 82240 87380 88408 93568 110510 116960 139808 164480 174760 176816 187867 221020 233920 279616 349520 353632 375734 442040 467840 559232 699040 707264 751468 884080 939335 1398080 1414528 1502936 1768160 1878670 2796160 3005872 3536320 3757340 6011744 7072640 7514680 12023488 15029360 24046976 30058720 60117440 120234880