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401130912 = 253713173773
BaseRepresentation
bin10111111010001…
…100010110100000
31000221210120011110
4113322030112200
51310142142122
6103445343320
712640361610
oct2772142640
91027716143
10401130912
11196478656
12b2407b40
1365149290
143b3baa40
152533890c
hex17e8c5a0

401130912 has 384 divisors, whose sum is σ = 1428585984. Its totient is φ = 95551488.

The previous prime is 401130889. The next prime is 401130923. The reversal of 401130912 is 219031104.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5494908 + ... + 5494980.

It is an arithmetic number, because the mean of its divisors is an integer number (3720276).

Almost surely, 2401130912 is an apocalyptic number.

401130912 is a gapful number since it is divisible by the number (42) 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 401130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714292992).

401130912 is an abundant number, since it is smaller than the sum of its proper divisors (1027455072).

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

401130912 is a wasteful number, since it uses less digits than its factorization.

401130912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 401130912 is about 20028.2528444196. The cubic root of 401130912 is about 737.5000322513.

The spelling of 401130912 in words is "four hundred one million, one hundred thirty thousand, nine hundred twelve".