Search a number
-
+
122460372 = 2232231311129
BaseRepresentation
bin1110100110010…
…01100011010100
322112102122001100
413103021203110
5222322212442
620052430100
73014616216
oct723114324
9275378040
10122460372
1163142321
1235018330
131c4a8a78
141239a5b6
15ab3e84c
hex74c98d4

122460372 has 72 divisors (see below), whose sum is σ = 325765440. Its totient is φ = 38712960.

The previous prime is 122460353. The next prime is 122460383. The reversal of 122460372 is 273064221.

It is a congruent number.

It is an unprimeable number.

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, 107904 + ... + 109032.

It is an arithmetic number, because the mean of its divisors is an integer number (4524520).

Almost surely, 2122460372 is an apocalyptic number.

122460372 is a gapful number since it is divisible by the number (12) 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 122460372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162882720).

122460372 is an abundant number, since it is smaller than the sum of its proper divisors (203305068).

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

122460372 is a wasteful number, since it uses less digits than its factorization.

122460372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122460372 is about 11066.1814552265. The cubic root of 122460372 is about 496.5906346284.

The spelling of 122460372 in words is "one hundred twenty-two million, four hundred sixty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 131 138 207 262 276 393 414 524 786 828 1129 1179 1572 2258 2358 3013 3387 4516 4716 6026 6774 9039 10161 12052 13548 18078 20322 25967 27117 36156 40644 51934 54234 77901 103868 108468 147899 155802 233703 295798 311604 443697 467406 591596 887394 934812 1331091 1774788 2662182 3401677 5324364 6803354 10205031 13606708 20410062 30615093 40820124 61230186 122460372