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145203632 = 24741103307
BaseRepresentation
bin10001010011110…
…10000110110000
3101010020002221022
420221322012300
5244133004012
622224115012
73412132130
oct1051720660
9333202838
10145203632
1174a66702
1240765a68
132410ca12
14153daac0
15cb33472
hex8a7a1b0

145203632 has 80 divisors (see below), whose sum is σ = 333645312. Its totient is φ = 59927040.

The previous prime is 145203599. The next prime is 145203649. The reversal of 145203632 is 236302541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472823 + ... + 473129.

Almost surely, 2145203632 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 145203632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166822656).

145203632 is an abundant number, since it is smaller than the sum of its proper divisors (188441680).

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

145203632 is a wasteful number, since it uses less digits than its factorization.

145203632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 145203632 is about 12050.0469708628. The cubic root of 145203632 is about 525.6046029280.

The spelling of 145203632 in words is "one hundred forty-five million, two hundred three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 103 112 164 206 287 307 328 412 574 614 656 721 824 1148 1228 1442 1648 2149 2296 2456 2884 4223 4298 4592 4912 5768 8446 8596 11536 12587 16892 17192 25174 29561 31621 33784 34384 50348 59122 63242 67568 88109 100696 118244 126484 176218 201392 221347 236488 252968 352436 442694 472976 505936 704872 885388 1296461 1409744 1770776 2592922 3541552 5185844 9075227 10371688 18150454 20743376 36300908 72601816 145203632