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150040350 = 2355253233
BaseRepresentation
bin10001111000101…
…10111100011110
3101110022211200000
420330112330132
5301402242400
622515515130
73501215265
oct1074267436
9343284600
10150040350
117776a599
12422b8aa6
1325114395
1415cd95dc
15d28b600
hex8f16f1e

150040350 has 144 divisors (see below), whose sum is σ = 427753872. Its totient is φ = 39087360.

The previous prime is 150040349. The next prime is 150040381. The reversal of 150040350 is 53040051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643834 + ... + 644066.

It is an arithmetic number, because the mean of its divisors is an integer number (2970513).

Almost surely, 2150040350 is an apocalyptic number.

150040350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150040350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213876936).

150040350 is an abundant number, since it is smaller than the sum of its proper divisors (277713522).

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

150040350 is a wasteful number, since it uses less digits than its factorization.

150040350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150040350 is about 12249.0958850031. The cubic root of 150040350 is about 531.3769228458.

The spelling of 150040350 in words is "one hundred fifty million, forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 81 90 106 135 150 159 162 225 233 243 265 270 318 405 450 466 477 486 530 675 699 795 810 954 1165 1215 1325 1350 1398 1431 1590 2025 2097 2330 2385 2430 2650 2862 3495 3975 4050 4194 4293 4770 5825 6075 6291 6990 7155 7950 8586 10485 11650 11925 12150 12349 12582 12879 14310 17475 18873 20970 21465 23850 24698 25758 31455 34950 35775 37047 37746 42930 52425 56619 61745 62910 64395 71550 74094 94365 104850 107325 111141 113238 123490 128790 157275 185235 188730 214650 222282 283095 308725 314550 321975 333423 370470 471825 555705 566190 617450 643950 666846 926175 943650 1000269 1111410 1415475 1667115 1852350 2000538 2778525 2830950 3000807 3334230 5001345 5557050 6001614 8335575 10002690 15004035 16671150 25006725 30008070 50013450 75020175 150040350