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145294512 = 243111716187
BaseRepresentation
bin10001010100100…
…00010010110000
3101010101201121020
420222100102300
5244143411022
622230055440
73412661106
oct1052202260
9333351536
10145294512
1175018a10
12407aa580
13241421ac
1415421c76
15cb5035c
hex8a904b0

145294512 has 80 divisors (see below), whose sum is σ = 433579392. Its totient is φ = 41436160.

The previous prime is 145294511. The next prime is 145294543. The reversal of 145294512 is 215492541.

It is a super-2 number, since 2×1452945122 = 42220990434636288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (145294511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883 + ... + 17069.

Almost surely, 2145294512 is an apocalyptic number.

145294512 is a gapful number since it is divisible by the number (12) 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 145294512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216789696).

145294512 is an abundant number, since it is smaller than the sum of its proper divisors (288284880).

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

145294512 is a wasteful number, since it uses less digits than its factorization.

145294512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16226 (or 16220 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 145294512 is about 12053.8173206665. The cubic root of 145294512 is about 525.7142351359.

The spelling of 145294512 in words is "one hundred forty-five million, two hundred ninety-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 16187 32374 48561 64748 97122 129496 178057 194244 258992 275179 356114 388488 534171 550358 712228 776976 825537 1068342 1100716 1424456 1651074 2136684 2201432 2848912 3026969 3302148 4273368 4402864 6053938 6604296 8546736 9080907 12107876 13208592 18161814 24215752 36323628 48431504 72647256 145294512