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150993405 = 32517316367
BaseRepresentation
bin10001111111111…
…11100111111101
3101112010021000100
420333333213331
5302123242110
622552151313
73512265003
oct1077774775
9345107010
10150993405
1178260642
1242698539
1325389114
14160a6a73
15d3c8bc0
hex8fff9fd

150993405 has 48 divisors (see below), whose sum is σ = 286101504. Its totient is φ = 73336320.

The previous prime is 150993397. The next prime is 150993431. The reversal of 150993405 is 504399051.

It is not a de Polignac number, because 150993405 - 23 = 150993397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 150993405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20532 + ... + 26898.

It is an arithmetic number, because the mean of its divisors is an integer number (5960448).

Almost surely, 2150993405 is an apocalyptic number.

150993405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150993405 is a deficient number, since it is larger than the sum of its proper divisors (135108099).

150993405 is a wasteful number, since it uses less digits than its factorization.

150993405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 150993405 is about 12287.9373777701. The cubic root of 150993405 is about 532.4996495402.

The spelling of 150993405 in words is "one hundred fifty million, nine hundred ninety-three thousand, four hundred five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 153 155 255 279 465 527 765 1395 1581 2635 4743 6367 7905 19101 23715 31835 57303 95505 108239 197377 286515 324717 541195 592131 974151 986885 1623585 1776393 2960655 3355409 4870755 8881965 10066227 16777045 30198681 50331135 150993405