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6404076 = 2233743197
BaseRepresentation
bin11000011011011111101100
3110001100202000
4120123133230
53114412301
6345132300
7105301530
oct30333754
913040660
106404076
113684528
12218a090
131432bc3
14bc9bc0
15867786
hex61b7ec

6404076 has 96 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 1778112.

The previous prime is 6404063. The next prime is 6404089. The reversal of 6404076 is 6704046.

It is an interprime number because it is at equal distance from previous prime (6404063) and next prime (6404089).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32410 + ... + 32606.

It is an arithmetic number, because the mean of its divisors is an integer number (203280).

Almost surely, 26404076 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 6404076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

6404076 is an abundant number, since it is smaller than the sum of its proper divisors (13110804).

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

6404076 is a wasteful number, since it uses less digits than its factorization.

6404076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6404076 is about 2530.6275901444. The cubic root of 6404076 is about 185.7029598052.

The spelling of 6404076 in words is "six million, four hundred four thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 197 252 258 301 378 387 394 516 591 602 756 774 788 903 1161 1182 1204 1379 1548 1773 1806 2322 2364 2709 2758 3546 3612 4137 4644 5319 5418 5516 7092 8127 8274 8471 10638 10836 12411 16254 16548 16942 21276 24822 25413 32508 33884 37233 49644 50826 59297 74466 76239 101652 118594 148932 152478 177891 228717 237188 304956 355782 457434 533673 711564 914868 1067346 1601019 2134692 3202038 6404076