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120992880 = 2435232953
BaseRepresentation
bin1110011011000…
…11010001110000
322102200002000210
413031203101300
5221433233010
620001144120
72666264631
oct715432160
9272602023
10120992880
116232a818
123462b040
131c0b3b28
14120d7888
15a94eb20
hex7363470

120992880 has 120 divisors (see below), whose sum is σ = 392506128. Its totient is φ = 30829568.

The previous prime is 120992873. The next prime is 120992881. The reversal of 120992880 is 88299021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120992881) 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 23 ways as a sum of consecutive naturals, for example, 126484 + ... + 127436.

Almost surely, 2120992880 is an apocalyptic number.

120992880 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 120992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196253064).

120992880 is an abundant number, since it is smaller than the sum of its proper divisors (271513248).

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

120992880 is a wasteful number, since it uses less digits than its factorization.

120992880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 120992880 is about 10999.6763588753. The cubic root of 120992880 is about 494.5990427179.

The spelling of 120992880 in words is "one hundred twenty million, nine hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 529 552 690 920 953 1058 1104 1380 1587 1840 1906 2116 2645 2760 2859 3174 3812 4232 4765 5290 5520 5718 6348 7624 7935 8464 9530 10580 11436 12696 14295 15248 15870 19060 21160 21919 22872 25392 28590 31740 38120 42320 43838 45744 57180 63480 65757 76240 87676 109595 114360 126960 131514 175352 219190 228720 263028 328785 350704 438380 504137 526056 657570 876760 1008274 1052112 1315140 1512411 1753520 2016548 2520685 2630280 3024822 4033096 5041370 5260560 6049644 7562055 8066192 10082740 12099288 15124110 20165480 24198576 30248220 40330960 60496440 120992880