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151371680 = 2552693517
BaseRepresentation
bin10010000010110…
…11111110100000
3101112211110220112
421001123332200
5302222343210
623004230452
73515431565
oct1101337640
9345743815
10151371680
1178499869
124283b428
132548c355
141616486c
15d450d05
hex905bfa0

151371680 has 48 divisors (see below), whose sum is σ = 359047080. Its totient is φ = 60306432.

The previous prime is 151371673. The next prime is 151371697. The reversal of 151371680 is 86173151.

It can be written as a sum of positive squares in 4 ways, for example, as 124456336 + 26915344 = 11156^2 + 5188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41282 + ... + 44798.

Almost surely, 2151371680 is an apocalyptic number.

151371680 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 151371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179523540).

151371680 is an abundant number, since it is smaller than the sum of its proper divisors (207675400).

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

151371680 is a wasteful number, since it uses less digits than its factorization.

151371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 151371680 is about 12303.3198771714. The cubic root of 151371680 is about 532.9439588513.

The spelling of 151371680 in words is "one hundred fifty-one million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 538 1076 1345 2152 2690 3517 4304 5380 7034 8608 10760 14068 17585 21520 28136 35170 43040 56272 70340 112544 140680 281360 562720 946073 1892146 3784292 4730365 7568584 9460730 15137168 18921460 30274336 37842920 75685840 151371680