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6421464 = 2333731137
BaseRepresentation
bin11000011111101111011000
3110002020121000
4120133233120
53120441324
6345345000
7105403320
oct30375730
913066530
106421464
1136965a5
122198160
13143aaaa
14bd2280
1586c9c9
hex61fbd8

6421464 has 128 divisors (see below), whose sum is σ = 21196800. Its totient is φ = 1762560.

The previous prime is 6421421. The next prime is 6421477. The reversal of 6421464 is 4641246.

6421464 is a `hidden beast` number, since 642 + 14 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 46804 + ... + 46940.

It is an arithmetic number, because the mean of its divisors is an integer number (165600).

Almost surely, 26421464 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 6421464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598400).

6421464 is an abundant number, since it is smaller than the sum of its proper divisors (14775336).

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

6421464 is a wasteful number, since it uses less digits than its factorization.

6421464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6421464 is about 2534.0607727519. The cubic root of 6421464 is about 185.8708781258.

It can be divided in two parts, 64 and 21464, that added together give a triangular number (21528 = T207).

The spelling of 6421464 in words is "six million, four hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 137 168 186 189 216 217 248 252 274 279 372 378 411 434 504 548 558 651 744 756 822 837 868 959 1096 1116 1233 1302 1512 1644 1674 1736 1918 1953 2232 2466 2604 2877 3288 3348 3699 3836 3906 4247 4932 5208 5754 5859 6696 7398 7672 7812 8494 8631 9864 11508 11718 12741 14796 15624 16988 17262 23016 23436 25482 25893 29592 29729 33976 34524 38223 46872 50964 51786 59458 69048 76446 89187 101928 103572 114669 118916 152892 178374 207144 229338 237832 267561 305784 356748 458676 535122 713496 802683 917352 1070244 1605366 2140488 3210732 6421464