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151113060 = 22335725711
BaseRepresentation
bin10010000000111…
…00110101100100
3101112100100011000
421000130311210
5302141104220
622554513300
73513303600
oct1100346544
9345310130
10151113060
117833252a
1242735830
13253cb717
14160d8500
15d3ee390
hex901cd64

151113060 has 144 divisors (see below), whose sum is σ = 546981120. Its totient is φ = 34534080.

The previous prime is 151113049. The next prime is 151113071. The reversal of 151113060 is 60311151.

It is an interprime number because it is at equal distance from previous prime (151113049) and next prime (151113071).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23605 + ... + 29315.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480).

Almost surely, 2151113060 is an apocalyptic number.

151113060 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 151113060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560).

151113060 is an abundant number, since it is smaller than the sum of its proper divisors (395868060).

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

151113060 is a wasteful number, since it uses less digits than its factorization.

151113060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 151113060 is about 12292.8052128064. The cubic root of 151113060 is about 532.6402725082.

The spelling of 151113060 in words is "one hundred fifty-one million, one hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 5711 6615 8820 11422 13230 17133 22844 26460 28555 34266 39977 51399 57110 68532 79954 85665 102798 114220 119931 154197 159908 171330 199885 205596 239862 256995 279839 308394 342660 359793 399770 479724 513990 559678 599655 616788 719586 770985 799540 839517 1027980 1079379 1119356 1199310 1399195 1439172 1541970 1679034 1798965 2158758 2398620 2518551 2798390 3083940 3358068 3597930 4197585 4317516 5037102 5396895 5596780 7195860 7555653 8395170 10074204 10793790 12592755 15111306 16790340 21587580 25185510 30222612 37778265 50371020 75556530 151113060