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145385658 = 23311311787
BaseRepresentation
bin10001010101001…
…10100010111010
3101010120100122000
420222212202322
5244204320113
622232041430
73413520615
oct1052464272
9333510560
10145385658
1175080440
1240833276
1324174822
141544717c
15cb6c373
hex8aa68ba

145385658 has 64 divisors (see below), whose sum is σ = 354032640. Its totient is φ = 43858800.

The previous prime is 145385657. The next prime is 145385677. The reversal of 145385658 is 856583541.

145385658 is a `hidden beast` number, since 14 + 538 + 56 + 58 = 666.

It is a super-2 number, since 2×1453856582 = 42273979104185928, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145385657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 184341 + ... + 185127.

It is an arithmetic number, because the mean of its divisors is an integer number (5531760).

Almost surely, 2145385658 is an apocalyptic number.

145385658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145385658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177016320).

145385658 is an abundant number, since it is smaller than the sum of its proper divisors (208646982).

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

145385658 is a wasteful number, since it uses less digits than its factorization.

145385658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 145385658 is about 12057.5975218946. The cubic root of 145385658 is about 525.8241423233.

The spelling of 145385658 in words is "one hundred forty-five million, three hundred eighty-five thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 311 594 622 787 933 1574 1866 2361 2799 3421 4722 5598 6842 7083 8397 8657 10263 14166 16794 17314 20526 21249 25971 30789 42498 51942 61578 77913 92367 155826 184734 233739 244757 467478 489514 734271 1468542 2202813 2692327 4405626 5384654 6608439 8076981 13216878 16153962 24230943 48461886 72692829 145385658