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151366560 = 2535973251
BaseRepresentation
bin10010000010110…
…10101110100000
3101112211012212220
421001122232200
5302222212220
623004151040
73515410632
oct1101325640
9345735786
10151366560
1178495a34
1242838480
1325489c17
1416162a52
15d44e540
hex905aba0

151366560 has 96 divisors (see below), whose sum is σ = 481868352. Its totient is φ = 39936000.

The previous prime is 151366531. The next prime is 151366561. The reversal of 151366560 is 65663151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151366561) 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, 44935 + ... + 48185.

It is an arithmetic number, because the mean of its divisors is an integer number (5019462).

Almost surely, 2151366560 is an apocalyptic number.

151366560 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 151366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240934176).

151366560 is an abundant number, since it is smaller than the sum of its proper divisors (330501792).

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

151366560 is a wasteful number, since it uses less digits than its factorization.

151366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 151366560 is about 12303.1118014915. Note that the first 3 decimals coincide. The cubic root of 151366560 is about 532.9379500130.

The spelling of 151366560 in words is "one hundred fifty-one million, three hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3251 3880 4656 5820 6502 7760 9312 9753 11640 13004 15520 16255 19506 23280 26008 32510 39012 46560 48765 52016 65020 78024 97530 104032 130040 156048 195060 260080 312096 315347 390120 520160 630694 780240 946041 1261388 1560480 1576735 1892082 2522776 3153470 3784164 4730205 5045552 6306940 7568328 9460410 10091104 12613880 15136656 18920820 25227760 30273312 37841640 50455520 75683280 151366560