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120309696 = 26321316067
BaseRepresentation
bin1110010101111…
…00011111000000
322101101100212200
413022330133000
5221244402241
615534353200
72660421063
oct712743700
9271340780
10120309696
1161a03501
123435b800
131bc04b90
1411d9a8da
15a8674b6
hex72bc7c0

120309696 has 84 divisors (see below), whose sum is σ = 371395752. Its totient is φ = 37016064.

The previous prime is 120309677. The next prime is 120309727. The reversal of 120309696 is 696903021.

It is a super-2 number, since 2×1203096962 = 28948845903224832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120309696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 15521.

It is an arithmetic number, because the mean of its divisors is an integer number (4421378).

Almost surely, 2120309696 is an apocalyptic number.

120309696 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 120309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185697876).

120309696 is an abundant number, since it is smaller than the sum of its proper divisors (251086056).

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

120309696 is a wasteful number, since it uses less digits than its factorization.

120309696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16098 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 120309696 is about 10968.5776653129. The cubic root of 120309696 is about 493.6663703683. Note that the first 3 decimals are identical.

The spelling of 120309696 in words is "one hundred twenty million, three hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 16067 32134 48201 64268 96402 128536 144603 192804 208871 257072 289206 385608 417742 514144 578412 626613 771216 835484 1028288 1156824 1253226 1542432 1670968 1879839 2313648 2506452 3084864 3341936 3759678 4627296 5012904 6683872 7519356 9254592 10025808 13367744 15038712 20051616 30077424 40103232 60154848 120309696