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390479220 = 2232514531493
BaseRepresentation
bin10111010001100…
…011110101110100
31000012202101210100
4113101203311310
51244430313340
6102425154100
712451006245
oct2721436564
91005671710
10390479220
111904628aa
12aa92b930
1362b89bc1
1439c06ccc
1524432830
hex17463d74

390479220 has 72 divisors (see below), whose sum is σ = 1186062696. Its totient is φ = 103986432.

The previous prime is 390479213. The next prime is 390479237. The reversal of 390479220 is 22974093.

390479220 is a `hidden beast` number, since 390 + 47 + 9 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218921616 + 171557604 = 14796^2 + 13098^2 .

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, 260794 + ... + 262286.

It is an arithmetic number, because the mean of its divisors is an integer number (16473093).

Almost surely, 2390479220 is an apocalyptic number.

390479220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390479220 is an abundant number, since it is smaller than the sum of its proper divisors (795583476).

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

390479220 is a wasteful number, since it uses less digits than its factorization.

390479220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390479220 is about 19760.5470572047. The cubic root of 390479220 is about 730.9134870666.

The spelling of 390479220 in words is "three hundred ninety million, four hundred seventy-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1453 1493 2906 2986 4359 4479 5812 5972 7265 7465 8718 8958 13077 13437 14530 14930 17436 17916 21795 22395 26154 26874 29060 29860 43590 44790 52308 53748 65385 67185 87180 89580 130770 134370 261540 268740 2169329 4338658 6507987 8677316 10846645 13015974 19523961 21693290 26031948 32539935 39047922 43386580 65079870 78095844 97619805 130159740 195239610 390479220