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399161040 = 24353474793
BaseRepresentation
bin10111110010101…
…011011011010000
31000211002111000020
4113302223123100
51304141123130
6103335223440
712614545545
oct2762533320
91024074006
10399161040
11195352663
12b1817b80
1364909785
143b026bcc
1525099e10
hex17cab6d0

399161040 has 80 divisors (see below), whose sum is σ = 1241224128. Its totient is φ = 106114048.

The previous prime is 399160939. The next prime is 399161041. The reversal of 399161040 is 40161993.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 399160992 and 399161010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399161041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80884 + ... + 85676.

Almost surely, 2399161040 is an apocalyptic number.

399161040 is a gapful number since it is divisible by the number (30) 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 399161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620612064).

399161040 is an abundant number, since it is smaller than the sum of its proper divisors (842063088).

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

399161040 is a wasteful number, since it uses less digits than its factorization.

399161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 399161040 is about 19979.0149907347. The cubic root of 399161040 is about 736.2908133218.

The spelling of 399161040 in words is "three hundred ninety-nine million, one hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1388 1735 2082 2776 3470 4164 4793 5205 5552 6940 8328 9586 10410 13880 14379 16656 19172 20820 23965 27760 28758 38344 41640 47930 57516 71895 76688 83280 95860 115032 143790 191720 230064 287580 383440 575160 1150320 1663171 3326342 4989513 6652684 8315855 9979026 13305368 16631710 19958052 24947565 26610736 33263420 39916104 49895130 66526840 79832208 99790260 133053680 199580520 399161040