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145589934 = 23741591433
BaseRepresentation
bin10001010110110…
…00011010101110
3101010221201211210
420223120122232
5244232334214
622240255250
73415331310
oct1053303256
9333851753
10145589934
11751aa966
1240911526
13242167b9
141549b7b0
15cbacb59
hex8ad86ae

145589934 has 64 divisors (see below), whose sum is σ = 346913280. Its totient is φ = 39866880.

The previous prime is 145589929. The next prime is 145589963. The reversal of 145589934 is 439985541.

145589934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 100882 + ... + 102314.

It is an arithmetic number, because the mean of its divisors is an integer number (5420520).

Almost surely, 2145589934 is an apocalyptic number.

145589934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145589934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173456640).

145589934 is an abundant number, since it is smaller than the sum of its proper divisors (201323346).

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

145589934 is a wasteful number, since it uses less digits than its factorization.

145589934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545.

The product of its digits is 777600, while the sum is 48.

The square root of 145589934 is about 12066.0653901759. The cubic root of 145589934 is about 526.0702990757.

The spelling of 145589934 in words is "one hundred forty-five million, five hundred eighty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 59 82 118 123 177 246 287 354 413 574 826 861 1239 1433 1722 2419 2478 2866 4299 4838 7257 8598 10031 14514 16933 20062 30093 33866 50799 58753 60186 84547 101598 117506 169094 176259 253641 352518 411271 507282 591829 822542 1183658 1233813 1775487 2467626 3466427 3550974 6932854 10399281 20798562 24264989 48529978 72794967 145589934