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20014368 = 2531121723
BaseRepresentation
bin100110001011…
…0010100100000
31101122211112220
41030112110200
520110424433
61552551040
7332055633
oct114262440
941584486
1020014368
1110330100
126852480
1341b9b2a
14292dc1a
151b552b3
hex1316520

20014368 has 72 divisors (see below), whose sum is σ = 57781584. Its totient is φ = 6061440.

The previous prime is 20014367. The next prime is 20014369. The reversal of 20014368 is 86341002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20014367) and next prime (20014369).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20014367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10755 + ... + 12477.

It is an arithmetic number, because the mean of its divisors is an integer number (802522).

Almost surely, 220014368 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 20014368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28890792).

20014368 is an abundant number, since it is smaller than the sum of its proper divisors (37767216).

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

20014368 is a wasteful number, since it uses less digits than its factorization.

20014368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20014368 is about 4473.7420578303. The cubic root of 20014368 is about 271.5067473539.

The spelling of 20014368 in words is "twenty million, fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1723 1936 2904 3446 3872 5169 5808 6892 10338 11616 13784 18953 20676 27568 37906 41352 55136 56859 75812 82704 113718 151624 165408 208483 227436 303248 416966 454872 606496 625449 833932 909744 1250898 1667864 1819488 2501796 3335728 5003592 6671456 10007184 20014368