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145382832 = 24327197591
BaseRepresentation
bin10001010101001…
…01110110110000
3101010120012202100
420222211312300
5244204222312
622232020400
73413506440
oct1052456660
9333505670
10145382832
1175079301
1240831700
132417345a
1415446120
15cb6b5dc
hex8aa5db0

145382832 has 120 divisors (see below), whose sum is σ = 489532160. Its totient is φ = 39346560.

The previous prime is 145382819. The next prime is 145382849. The reversal of 145382832 is 238283541.

It is a super-2 number, since 2×1453828322 = 42272335680680448, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15357 + ... + 22947.

Almost surely, 2145382832 is an apocalyptic number.

145382832 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 145382832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244766080).

145382832 is an abundant number, since it is smaller than the sum of its proper divisors (344149328).

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

145382832 is a wasteful number, since it uses less digits than its factorization.

145382832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7622 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 145382832 is about 12057.4803338011. The cubic root of 145382832 is about 525.8207353191.

The spelling of 145382832 in words is "one hundred forty-five million, three hundred eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 7591 9576 15182 19152 22773 30364 45546 53137 60728 68319 91092 106274 121456 136638 144229 159411 182184 212548 273276 288458 318822 364368 425096 432687 478233 546552 576916 637644 850192 865374 956466 1009603 1093104 1153832 1275288 1298061 1730748 1912932 2019206 2307664 2550576 2596122 3028809 3461496 3825864 4038412 5192244 6057618 6922992 7651728 8076824 9086427 10384488 12115236 16153648 18172854 20768976 24230472 36345708 48460944 72691416 145382832