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145505536 = 2811163317
BaseRepresentation
bin10001010110000…
…11110100000000
3101010210110001221
420223003310000
5244222134121
622234404424
73414530251
oct1053036400
9333713057
10145505536
1175152510
1240890714
13241b7267
1415478b28
15cb92b41
hex8ac3d00

145505536 has 72 divisors (see below), whose sum is σ = 319796064. Its totient is φ = 65525760.

The previous prime is 145505531. The next prime is 145505543. The reversal of 145505536 is 635505541.

It is a super-2 number, since 2×1455055362 = 42343722013294592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145505531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458850 + ... + 459166.

It is an arithmetic number, because the mean of its divisors is an integer number (4441612).

Almost surely, 2145505536 is an apocalyptic number.

145505536 is a gapful number since it is divisible by the number (16) 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 145505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159898032).

145505536 is an abundant number, since it is smaller than the sum of its proper divisors (174290528).

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

145505536 is a wasteful number, since it uses less digits than its factorization.

145505536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 145505536 is about 12062.5675542150. The cubic root of 145505536 is about 525.9686256930.

The spelling of 145505536 in words is "one hundred forty-five million, five hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 256 317 326 352 634 652 704 1268 1304 1408 1793 2536 2608 2816 3487 3586 5072 5216 6974 7172 10144 10432 13948 14344 20288 20864 27896 28688 40576 41728 51671 55792 57376 81152 103342 111584 114752 206684 223168 229504 413368 446336 459008 568381 826736 892672 1136762 1653472 2273524 3306944 4547048 6613888 9094096 13227776 18188192 36376384 72752768 145505536