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151341480 = 23335178243
BaseRepresentation
bin10010000010101…
…00100110101000
3101112202221111000
421001110212220
5302220411410
623003435000
73515244543
oct1101244650
9345687430
10151341480
1178479104
1242825a60
132547b694
141615785a
15d446dc0
hex90549a8

151341480 has 128 divisors (see below), whose sum is σ = 534211200. Its totient is φ = 37979136.

The previous prime is 151341469. The next prime is 151341499. The reversal of 151341480 is 84143151.

It is a happy number.

151341480 is a `hidden beast` number, since 1 + 513 + 4 + 148 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14239 + ... + 22481.

It is an arithmetic number, because the mean of its divisors is an integer number (4173525).

Almost surely, 2151341480 is an apocalyptic number.

151341480 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 151341480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267105600).

151341480 is an abundant number, since it is smaller than the sum of its proper divisors (382869720).

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

151341480 is a wasteful number, since it uses less digits than its factorization.

151341480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151341480 is about 12302.0925049359. The cubic root of 151341480 is about 532.9085141366.

The spelling of 151341480 in words is "one hundred fifty-one million, three hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 8243 9180 16486 18360 24729 32972 41215 49458 65944 74187 82430 98916 123645 140131 148374 164860 197832 222561 247290 280262 296748 329720 370935 420393 445122 494580 560524 593496 700655 741870 840786 890244 989160 1112805 1121048 1261179 1401310 1483740 1681572 1780488 2101965 2225610 2522358 2802620 2967480 3363144 3783537 4203930 4451220 5044716 5605240 6305895 7567074 8407860 8902440 10089432 12611790 15134148 16815720 18917685 25223580 30268296 37835370 50447160 75670740 151341480