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151994880 = 29345733
BaseRepresentation
bin10010000111101…
…00001000000000
3101121000010210000
421003310020000
5302402314010
623025440000
73523635522
oct1103641000
9347003700
10151994880
1178885004
1242aa0000
1325649bcb
1416287a12
15d5257c0
hex90f4200

151994880 has 200 divisors, whose sum is σ = 545140332. Its totient is φ = 40476672.

The previous prime is 151994873. The next prime is 151994897. The reversal of 151994880 is 88499151.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 9144576 = 11952^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206994 + ... + 207726.

Almost surely, 2151994880 is an apocalyptic number.

151994880 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 151994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272570166).

151994880 is an abundant number, since it is smaller than the sum of its proper divisors (393145452).

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

151994880 is an frugal number, since it uses more digits than its factorization.

151994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 151994880 is about 12328.6203607703. The cubic root of 151994880 is about 533.6743374769.

The spelling of 151994880 in words is "one hundred fifty-one million, nine hundred ninety-four thousand, eight hundred eighty".