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150351630 = 2351113101347
BaseRepresentation
bin10001111011000…
…10111100001110
3101110220122122220
420331202330032
5301442223010
622530320210
73503652642
oct1075427416
9343818586
10150351630
1177962450
1242429066
13251c2c80
1415d7ac22
15d2ed970
hex8f62f0e

150351630 has 128 divisors (see below), whose sum is σ = 429359616. Its totient is φ = 33216000.

The previous prime is 150351623. The next prime is 150351653. The reversal of 150351630 is 36153051.

It is a super-2 number, since 2×1503516302 = 45211225287313800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 150351630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433117 + ... + 433463.

It is an arithmetic number, because the mean of its divisors is an integer number (3354372).

Almost surely, 2150351630 is an apocalyptic number.

150351630 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 150351630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214679808).

150351630 is an abundant number, since it is smaller than the sum of its proper divisors (279007986).

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

150351630 is a wasteful number, since it uses less digits than its factorization.

150351630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 150351630 is about 12261.7955455145. The cubic root of 150351630 is about 531.7441412939.

The spelling of 150351630 in words is "one hundred fifty million, three hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 101 110 130 143 165 195 202 286 303 330 347 390 429 505 606 694 715 858 1010 1041 1111 1313 1430 1515 1735 2082 2145 2222 2626 3030 3333 3470 3817 3939 4290 4511 5205 5555 6565 6666 7634 7878 9022 10410 11110 11451 13130 13533 14443 16665 19085 19695 22555 22902 27066 28886 33330 35047 38170 39390 43329 45110 49621 57255 67665 70094 72215 86658 99242 105141 114510 135330 144430 148863 175235 210282 216645 248105 297726 350470 385517 433290 455611 496210 525705 744315 771034 911222 1051410 1156551 1366833 1488630 1927585 2278055 2313102 2733666 3855170 4556110 5011721 5782755 6834165 10023442 11565510 13668330 15035163 25058605 30070326 50117210 75175815 150351630