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150492680 = 235132312583
BaseRepresentation
bin10001111100001…
…01011000001000
3101111011211010222
420332011120020
5302011231210
622533325212
73505111112
oct1076053010
9344154128
10150492680
1177a49418
1242496808
1325242230
1415db63b2
15d32a655
hex8f85608

150492680 has 64 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 53146368.

The previous prime is 150492679. The next prime is 150492689. The reversal of 150492680 is 86294051.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 150492680.

It is not an unprimeable number, because it can be changed into a prime (150492689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5669 + ... + 18251.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2150492680 is an apocalyptic number.

150492680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150492680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

150492680 is an abundant number, since it is smaller than the sum of its proper divisors (230047480).

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

150492680 is a wasteful number, since it uses less digits than its factorization.

150492680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 150492680 is about 12267.5458018301. The cubic root of 150492680 is about 531.9103717702.

The spelling of 150492680 in words is "one hundred fifty million, four hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 12583 25166 50332 62915 100664 125830 163579 251660 289409 327158 503320 578818 654316 817895 1157636 1308632 1447045 1635790 2315272 2894090 3271580 3762317 5788180 6543160 7524634 11576360 15049268 18811585 30098536 37623170 75246340 150492680