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145812936 = 23361137727
BaseRepresentation
bin10001011000011…
…10110111001000
3101011101001202010
420230032313020
5244312003221
622245135520
73420250413
oct1054166710
9334331663
10145812936
1175342465
12409ba5a0
1324294159
1415518b7a
15cc03c76
hex8b0edc8

145812936 has 64 divisors (see below), whose sum is σ = 373726080. Its totient is φ = 47393280.

The previous prime is 145812889. The next prime is 145812949. The reversal of 145812936 is 639218541.

It is a super-2 number, since 2×1458129362 = 42522824609880192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145812894 and 145812903.

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 15 ways as a sum of consecutive naturals, for example, 200205 + ... + 200931.

It is an arithmetic number, because the mean of its divisors is an integer number (5839470).

Almost surely, 2145812936 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 145812936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

145812936 is an abundant number, since it is smaller than the sum of its proper divisors (227913144).

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

145812936 is a wasteful number, since it uses less digits than its factorization.

145812936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 145812936 is about 12075.3027291244. The cubic root of 145812936 is about 526.3387583001.

The spelling of 145812936 in words is "one hundred forty-five million, eight hundred twelve thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 137 183 244 274 366 411 488 548 727 732 822 1096 1454 1464 1644 2181 2908 3288 4362 5816 8357 8724 16714 17448 25071 33428 44347 50142 66856 88694 99599 100284 133041 177388 199198 200568 266082 298797 354776 398396 532164 597594 796792 1064328 1195188 2390376 6075539 12151078 18226617 24302156 36453234 48604312 72906468 145812936