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145965924 = 223213615113
BaseRepresentation
bin10001011001101…
…00001101100100
3101011122211121100
420230310031210
5244331402144
622252320100
73421455426
oct1054641544
9334584540
10145965924
11754373a5
1240a73030
1324318990
1415558816
15cc34269
hex8b34364

145965924 has 72 divisors (see below), whose sum is σ = 403944632. Its totient is φ = 44167680.

The previous prime is 145965877. The next prime is 145965929. The reversal of 145965924 is 429569541.

145965924 is a `hidden beast` number, since 1 + 4 + 59 + 6 + 592 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27373824 + 118592100 = 5232^2 + 10890^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145965924.

It is not an unprimeable number, because it can be changed into a prime (145965929) 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, 25992 + ... + 31104.

Almost surely, 2145965924 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 145965924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201972316).

145965924 is an abundant number, since it is smaller than the sum of its proper divisors (257978708).

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

145965924 is a wasteful number, since it uses less digits than its factorization.

145965924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5192 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 145965924 is about 12081.6358163951. The cubic root of 145965924 is about 526.5227734513.

The spelling of 145965924 in words is "one hundred forty-five million, nine hundred sixty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 5113 7137 9516 10226 14274 15339 20452 28548 30678 46017 61356 66469 92034 132938 184068 199407 265876 311893 398814 598221 623786 797628 935679 1196442 1247572 1871358 2392884 2807037 3742716 4054609 5614074 8109218 11228148 12163827 16218436 24327654 36491481 48655308 72982962 145965924