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399620 = 225132953
BaseRepresentation
bin1100001100100000100
3202022011202
41201210010
5100241440
612322032
73253034
oct1414404
9668152
10399620
11253271
12173318
1310cb80
14a58c4
157d615
hex61904

399620 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 139776.

The previous prime is 399617. The next prime is 399643. The reversal of 399620 is 26993.

399620 = T49 + T50 + ... + T135.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 391876 = 88^2 + 626^2 .

It is a super-2 number, since 2×3996202 = 319392288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 399620.

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, 7514 + ... + 7566.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2399620 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 399620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

399620 is an abundant number, since it is smaller than the sum of its proper divisors (552940).

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

399620 is a wasteful number, since it uses less digits than its factorization.

399620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 399620 is about 632.1550442732. The cubic root of 399620 is about 73.6572903809.

The spelling of 399620 in words is "three hundred ninety-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 53 58 65 106 116 130 145 212 260 265 290 377 530 580 689 754 1060 1378 1508 1537 1885 2756 3074 3445 3770 6148 6890 7540 7685 13780 15370 19981 30740 39962 79924 99905 199810 399620