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401252060 = 225117923087
BaseRepresentation
bin10111111010101…
…001111011011100
31000222000201100102
4113322221323130
51310210031220
6103452120232
712641405036
oct2772517334
91028021312
10401252060
11196550680
12b2466078
136518c471
143b40cc56
152535e775
hex17ea9edc

401252060 has 48 divisors (see below), whose sum is σ = 930908160. Its totient is φ = 144056640.

The previous prime is 401252017. The next prime is 401252077. The reversal of 401252060 is 60252104.

It is a happy number.

It is a super-2 number, since 2×4012520602 = 322006431308487200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5837 + ... + 28923.

It is an arithmetic number, because the mean of its divisors is an integer number (19393920).

Almost surely, 2401252060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401252060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

401252060 is an abundant number, since it is smaller than the sum of its proper divisors (529656100).

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

401252060 is a wasteful number, since it uses less digits than its factorization.

401252060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23186 (or 23184 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 401252060 is about 20031.2770436635. The cubic root of 401252060 is about 737.5742704098.

The spelling of 401252060 in words is "four hundred one million, two hundred fifty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 23087 46174 92348 115435 230870 253957 461740 507914 1015828 1269785 1823873 2539570 3647746 5079140 7295492 9119365 18238730 20062603 36477460 40125206 80250412 100313015 200626030 401252060