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400713534 = 233132192311
BaseRepresentation
bin10111111000100…
…110011100111110
31000221000100122000
4113320212130332
51310040313114
6103432403130
712634003014
oct2770463476
91027010560
10400713534
11196213011
12b22464a6
1365031300
143b30c8b4
15252a4e09
hex17e2673e

400713534 has 96 divisors (see below), whose sum is σ = 1015430400. Its totient is φ = 116756640.

The previous prime is 400713497. The next prime is 400713559. The reversal of 400713534 is 435317004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 400713498 and 400713507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172239 + ... + 174549.

It is an arithmetic number, because the mean of its divisors is an integer number (10577400).

Almost surely, 2400713534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400713534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507715200).

400713534 is an abundant number, since it is smaller than the sum of its proper divisors (614716866).

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

400713534 is a wasteful number, since it uses less digits than its factorization.

400713534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 400713534 is about 20017.8304019192. The cubic root of 400713534 is about 737.2441531004.

The spelling of 400713534 in words is "four hundred million, seven hundred thirteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1482 1521 2223 2311 3042 3211 4446 4563 4622 6422 6669 6933 9126 9633 13338 13866 19266 20799 28899 30043 41598 43909 57798 60086 62397 86697 87818 90129 124794 131727 173394 180258 263454 270387 390559 395181 540774 570817 781118 790362 811161 1141634 1171677 1185543 1622322 1712451 2343354 2371086 3424902 3515031 5137353 7030062 7420621 10274706 10545093 14841242 15412059 21090186 22261863 30824118 44523726 66785589 133571178 200356767 400713534