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399960 = 2332511101
BaseRepresentation
bin1100001101001011000
3202022122100
41201221120
5100244320
612323400
73254031
oct1415130
9668570
10399960
11253550
12173560
13110082
14a5a88
157d790
hex61a58

399960 has 96 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 96000.

The previous prime is 399953. The next prime is 399979. The reversal of 399960 is 69993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3910 + ... + 4010.

2399960 is an apocalyptic number.

399960 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 399960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

399960 is an abundant number, since it is smaller than the sum of its proper divisors (1032120).

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

399960 is a wasteful number, since it uses less digits than its factorization.

399960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 399960 is about 632.4239084665. The cubic root of 399960 is about 73.6781738699.

It can be divided in two parts, 39 and 9960, that added together give a palindrome (9999).

The spelling of 399960 in words is "three hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 101 110 120 132 165 180 198 202 220 264 303 330 360 396 404 440 495 505 606 660 792 808 909 990 1010 1111 1212 1320 1515 1818 1980 2020 2222 2424 3030 3333 3636 3960 4040 4444 4545 5555 6060 6666 7272 8888 9090 9999 11110 12120 13332 16665 18180 19998 22220 26664 33330 36360 39996 44440 49995 66660 79992 99990 133320 199980 399960