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145633260 = 223543471201
BaseRepresentation
bin10001010111000…
…10111111101100
3101011000221021110
420223202333230
5244240231020
622241232020
73415601523
oct1053427754
9334027243
10145633260
117522a473
1240932610
1324230436
14154ad4ba
15cbba8e0
hex8ae2fec

145633260 has 96 divisors (see below), whose sum is σ = 426488832. Its totient is φ = 37094400.

The previous prime is 145633259. The next prime is 145633297. The reversal of 145633260 is 62336541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 120660 + ... + 121860.

It is an arithmetic number, because the mean of its divisors is an integer number (4442592).

Almost surely, 2145633260 is an apocalyptic number.

145633260 is a gapful number since it is divisible by the number (10) 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 145633260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213244416).

145633260 is an abundant number, since it is smaller than the sum of its proper divisors (280855572).

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

145633260 is a wasteful number, since it uses less digits than its factorization.

145633260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 145633260 is about 12067.8606223307. The cubic root of 145633260 is about 526.1224781896.

It can be divided in two parts, 1456 and 33260, that added together give a triangular number (34716 = T263).

The spelling of 145633260 in words is "one hundred forty-five million, six hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 430 470 516 564 645 705 860 940 1201 1290 1410 2021 2402 2580 2820 3603 4042 4804 6005 6063 7206 8084 10105 12010 12126 14412 18015 20210 24020 24252 30315 36030 40420 51643 56447 60630 72060 103286 112894 121260 154929 169341 206572 225788 258215 282235 309858 338682 516430 564470 619716 677364 774645 846705 1032860 1128940 1549290 1693410 2427221 3098580 3386820 4854442 7281663 9708884 12136105 14563326 24272210 29126652 36408315 48544420 72816630 145633260