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150113088 = 2634231259
BaseRepresentation
bin10001111001010…
…00101101000000
3101110110112110000
420330220231000
5301412104323
622521240000
73501640326
oct1074505500
9343415400
10150113088
117780a204
1242333000
132513b518
1415d17d16
15d2a2e43
hex8f28b40

150113088 has 140 divisors (see below), whose sum is σ = 464698080. Its totient is φ = 47824128.

The previous prime is 150113083. The next prime is 150113101. The reversal of 150113088 is 880311051.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150113081) 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 19 ways as a sum of consecutive naturals, for example, 118603 + ... + 119861.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2150113088 is an apocalyptic number.

150113088 is a gapful number since it is divisible by the number (18) 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 150113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

150113088 is an abundant number, since it is smaller than the sum of its proper divisors (314584992).

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

150113088 is a wasteful number, since it uses less digits than its factorization.

150113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 150113088 is about 12252.0646423368. The cubic root of 150113088 is about 531.4627776406.

The spelling of 150113088 in words is "one hundred fifty million, one hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1259 1296 1472 1656 1728 1863 2208 2484 2518 2592 3312 3726 3777 4416 4968 5036 5184 6624 7452 7554 9936 10072 11331 13248 14904 15108 19872 20144 22662 28957 29808 30216 33993 39744 40288 45324 57914 59616 60432 67986 80576 86871 90648 101979 115828 119232 120864 135972 173742 181296 203958 231656 241728 260613 271944 347484 362592 407916 463312 521226 543888 694968 725184 781839 815832 926624 1042452 1087776 1389936 1563678 1631664 1853248 2084904 2175552 2345517 2779872 3127356 3263328 4169808 4691034 5559744 6254712 6526656 8339616 9382068 12509424 16679232 18764136 25018848 37528272 50037696 75056544 150113088