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151310460 = 223573131151
BaseRepresentation
bin10010000010011…
…01000001111100
3101112201100221010
421001031001330
5302213413320
623003035220
73515055240
oct1101150174
9345640833
10151310460
1178457874
124280bb10
132546a522
141614a420
15d43cae0
hex904d07c

151310460 has 96 divisors (see below), whose sum is σ = 486162432. Its totient is φ = 34444800.

The previous prime is 151310447. The next prime is 151310479. The reversal of 151310460 is 64013151.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 130885 + ... + 132035.

It is an arithmetic number, because the mean of its divisors is an integer number (5064192).

Almost surely, 2151310460 is an apocalyptic number.

151310460 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 151310460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243081216).

151310460 is an abundant number, since it is smaller than the sum of its proper divisors (334851972).

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

151310460 is a wasteful number, since it uses less digits than its factorization.

151310460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 151310460 is about 12300.8316791996. The cubic root of 151310460 is about 532.8721021063.

The spelling of 151310460 in words is "one hundred fifty-one million, three hundred ten thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1151 1252 1565 1878 2191 2302 3130 3453 3756 4382 4604 4695 5755 6260 6573 6906 8057 8764 9390 10955 11510 13146 13812 16114 17265 18780 21910 23020 24171 26292 32228 32865 34530 40285 43820 48342 65730 69060 80570 96684 120855 131460 161140 241710 360263 483420 720526 1080789 1441052 1801315 2161578 2521841 3602630 4323156 5043682 5403945 7205260 7565523 10087364 10807890 12609205 15131046 21615780 25218410 30262092 37827615 50436820 75655230 151310460