Search a number
-
+
145915644 = 223716310657
BaseRepresentation
bin10001011001001…
…11111011111100
3101011120021122010
420230213323330
5244323300034
622251251220
73421156020
oct1054477374
9334507563
10145915644
1175402646
1240a49b10
13242cbb24
1415544380
15cc243e9
hex8b27efc

145915644 has 48 divisors (see below), whose sum is σ = 391532288. Its totient is φ = 41430528.

The previous prime is 145915633. The next prime is 145915661. The reversal of 145915644 is 446519541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8364 + ... + 19020.

Almost surely, 2145915644 is an apocalyptic number.

145915644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145915644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195766144).

145915644 is an abundant number, since it is smaller than the sum of its proper divisors (245616644).

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

145915644 is a wasteful number, since it uses less digits than its factorization.

145915644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834 (or 10832 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 145915644 is about 12079.5547931205. The cubic root of 145915644 is about 526.4623104687.

The spelling of 145915644 in words is "one hundred forty-five million, nine hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4564 6846 10657 13692 21314 31971 42628 63942 74599 127884 149198 223797 298396 447594 895188 1737091 3474182 5211273 6948364 10422546 12159637 20845092 24319274 36478911 48638548 72957822 145915644