Search a number
-
+
120858816 = 26313411181
BaseRepresentation
bin1110011010000…
…10100011000000
322102102021010110
413031002203000
5221414440231
615554231320
72665166031
oct715024300
9272367113
10120858816
1162249021
1234585540
131c067ac0
14120a0a88
15a925046
hex73428c0

120858816 has 112 divisors (see below), whose sum is σ = 353068128. Its totient is φ = 36249600.

The previous prime is 120858809. The next prime is 120858841. The reversal of 120858816 is 618858021.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101746 + ... + 102926.

It is an arithmetic number, because the mean of its divisors is an integer number (3152394).

Almost surely, 2120858816 is an apocalyptic number.

120858816 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 120858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176534064).

120858816 is an abundant number, since it is smaller than the sum of its proper divisors (232209312).

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

120858816 is a wasteful number, since it uses less digits than its factorization.

120858816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 120858816 is about 10993.5806723742. The cubic root of 120858816 is about 494.4162979933.

The spelling of 120858816 in words is "one hundred twenty million, eight hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 156 164 192 208 246 312 328 416 492 533 624 656 832 984 1066 1181 1248 1312 1599 1968 2132 2362 2496 2624 3198 3543 3936 4264 4724 6396 7086 7872 8528 9448 12792 14172 15353 17056 18896 25584 28344 30706 34112 37792 46059 48421 51168 56688 61412 75584 92118 96842 102336 113376 122824 145263 184236 193684 226752 245648 290526 368472 387368 491296 581052 629473 736944 774736 982592 1162104 1258946 1473888 1549472 1888419 2324208 2517892 2947776 3098944 3776838 4648416 5035784 7553676 9296832 10071568 15107352 20143136 30214704 40286272 60429408 120858816