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12419964 = 2232312359
BaseRepresentation
bin101111011000…
…001101111100
3212100222222200
4233120031330
511134414324
61122111500
7210365544
oct57301574
925328880
1012419964
117013337
1241ab590
13275b1bb
141914324
151154ec9
hexbd837c

12419964 has 54 divisors (see below), whose sum is σ = 32530680. Its totient is φ = 3995280.

The previous prime is 12419963. The next prime is 12419969. The reversal of 12419964 is 46991421.

It is a happy number.

It is a super-2 number, since 2×124199642 = 308511011522592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12419963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34417 + ... + 34775.

It is an arithmetic number, because the mean of its divisors is an integer number (602420).

Almost surely, 212419964 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 12419964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265340).

12419964 is an abundant number, since it is smaller than the sum of its proper divisors (20110716).

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

12419964 is a wasteful number, since it uses less digits than its factorization.

12419964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 395 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12419964 is about 3524.1969297983. The cubic root of 12419964 is about 231.5830551287.

The spelling of 12419964 in words is "twelve million, four hundred nineteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 359 372 558 718 961 1077 1116 1436 1922 2154 2883 3231 3844 4308 5766 6462 8649 11129 11532 12924 17298 22258 33387 34596 44516 66774 100161 133548 200322 344999 400644 689998 1034997 1379996 2069994 3104991 4139988 6209982 12419964