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401865620 = 225135412857
BaseRepresentation
bin10111111100111…
…111101110010100
31001000011212222212
4113330333232110
51310334144440
6103513212552
712646541612
oct2774775624
91030155885
10401865620
1119692a652
12b2701158
1365345810
143b52c6b2
1525431465
hex17f3fb94

401865620 has 48 divisors (see below), whose sum is σ = 910833168. Its totient is φ = 148055040.

The previous prime is 401865577. The next prime is 401865631. The reversal of 401865620 is 26568104.

It can be written as a sum of positive squares in 8 ways, for example, as 20757136 + 381108484 = 4556^2 + 19522^2 .

It is a super-2 number, since 2×4018656202 = 322991953075968800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139232 + ... + 142088.

It is an arithmetic number, because the mean of its divisors is an integer number (18975691).

Almost surely, 2401865620 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 401865620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455416584).

401865620 is an abundant number, since it is smaller than the sum of its proper divisors (508967548).

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

401865620 is a wasteful number, since it uses less digits than its factorization.

401865620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 401865620 is about 20046.5862430490. The cubic root of 401865620 is about 737.9500239119.

The spelling of 401865620 in words is "four hundred one million, eight hundred sixty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 541 1082 2164 2705 2857 5410 5714 7033 10820 11428 14066 14285 28132 28570 35165 37141 57140 70330 74282 140660 148564 185705 371410 742820 1545637 3091274 6182548 7728185 15456370 20093281 30912740 40186562 80373124 100466405 200932810 401865620