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120239316 = 22351031201
BaseRepresentation
bin1110010101010…
…11010011010100
322101020210100000
413022223103110
5221240124231
615533051300
72660005641
oct712532324
9271223300
10120239316
116196563a
1234326b30
131bbabb32
1411d7cdc8
15a8516e6
hex72ab4d4

120239316 has 72 divisors (see below), whose sum is σ = 318520384. Its totient is φ = 39657600.

The previous prime is 120239311. The next prime is 120239333. The reversal of 120239316 is 613932021.

It is a super-2 number, since 2×1202393162 = 28914986224295712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120239316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120239311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99516 + ... + 100716.

Almost surely, 2120239316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120239316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159260192).

120239316 is an abundant number, since it is smaller than the sum of its proper divisors (198281068).

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

120239316 is a wasteful number, since it uses less digits than its factorization.

120239316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120239316 is about 10965.3689404415. The cubic root of 120239316 is about 493.5700882522.

The spelling of 120239316 in words is "one hundred twenty million, two hundred thirty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 927 972 1201 1236 1854 2402 2781 3603 3708 4804 5562 7206 8343 10809 11124 14412 16686 21618 25029 32427 33372 43236 50058 64854 97281 100116 123703 129708 194562 247406 291843 371109 389124 494812 583686 742218 1113327 1167372 1484436 2226654 3339981 4453308 6679962 10019943 13359924 20039886 30059829 40079772 60119658 120239316