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145862316 = 223319312293
BaseRepresentation
bin10001011000110…
…10111010101100
3101011110120111000
420230122322230
5244320043231
622250200300
73420544365
oct1054327254
9334416430
10145862316
1175376576
1240a23090
13242b0782
141552cb6c
15cc136e6
hex8b1aeac

145862316 has 96 divisors (see below), whose sum is σ = 411084800. Its totient is φ = 44556480.

The previous prime is 145862303. The next prime is 145862333. The reversal of 145862316 is 613268541.

It is a happy number.

145862316 is a `hidden beast` number, since 14 + 5 + 8 + 623 + 16 = 666.

145862316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62466 + ... + 64758.

Almost surely, 2145862316 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 145862316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205542400).

145862316 is an abundant number, since it is smaller than the sum of its proper divisors (265222484).

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

145862316 is a wasteful number, since it uses less digits than its factorization.

145862316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2348 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 145862316 is about 12077.3472252809. The cubic root of 145862316 is about 526.3981670083.

The spelling of 145862316 in words is "one hundred forty-five million, eight hundred sixty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1116 1178 1674 1767 2052 2293 2356 3348 3534 4586 5301 6879 7068 9172 10602 13758 15903 20637 21204 27516 31806 41274 43567 61911 63612 71083 82548 87134 123822 130701 142166 174268 213249 247644 261402 284332 392103 426498 522804 639747 784206 852996 1176309 1279494 1350577 1568412 1919241 2352618 2558988 2701154 3838482 4051731 4705236 5402308 7676964 8103462 12155193 16206924 24310386 36465579 48620772 72931158 145862316