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120886896 = 24313238423
BaseRepresentation
bin1110011010010…
…01011001110000
322102110200122110
413031021121300
5221421340041
615555005320
72665343634
oct715113160
9272420573
10120886896
1162268129
1234599840
131c077810
14120aadc4
15a92d516
hex7349670

120886896 has 80 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 35574528.

The previous prime is 120886891. The next prime is 120886907. The reversal of 120886896 is 698688021.

It is a super-2 number, since 2×1208868962 = 29227283249029632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120886891) 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, 10141 + ... + 18563.

Almost surely, 2120886896 is an apocalyptic number.

120886896 is a gapful number since it is divisible by the number (16) 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 120886896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

120886896 is an abundant number, since it is smaller than the sum of its proper divisors (230090640).

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

120886896 is a wasteful number, since it uses less digits than its factorization.

120886896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 120886896 is about 10994.8577071284. The cubic root of 120886896 is about 494.4545854625.

The spelling of 120886896 in words is "one hundred twenty million, eight hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 8423 14352 16846 25269 33692 50538 67384 101076 109499 134768 193729 202152 218998 328497 387458 404304 437996 581187 656994 774916 875992 1162374 1313988 1549832 1751984 2324748 2518477 2627976 3099664 4649496 5036954 5255952 7555431 9298992 10073908 15110862 20147816 30221724 40295632 60443448 120886896