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145205976 = 23317479743
BaseRepresentation
bin10001010011110…
…10101011011000
3101010020020011010
420221322223120
5244133042401
622224133520
73412142016
oct1051725330
9333206133
10145205976
1174a68443
12407672a0
1324110ac6
14153db8b6
15cb33ed6
hex8a7aad8

145205976 has 64 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 45398528.

The previous prime is 145205947. The next prime is 145205981. The reversal of 145205976 is 679502541.

145205976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452059762 = 42169550932225152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195061 + ... + 195803.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2145205976 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 145205976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

145205976 is an abundant number, since it is smaller than the sum of its proper divisors (240483624).

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

145205976 is a wasteful number, since it uses less digits than its factorization.

145205976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 145205976 is about 12050.1442315020. The cubic root of 145205976 is about 525.6074311643.

The spelling of 145205976 in words is "one hundred forty-five million, two hundred five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 479 743 958 1437 1486 1916 2229 2874 2972 3832 4458 5748 5944 8143 8916 11496 12631 16286 17832 24429 25262 32572 37893 48858 50524 65144 75786 97716 101048 151572 195432 303144 355897 711794 1067691 1423588 2135382 2847176 4270764 6050249 8541528 12100498 18150747 24200996 36301494 48401992 72602988 145205976