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6461364 = 2237136197
BaseRepresentation
bin11000101001011110110100
3110011021022210
4120221132310
53123230424
6350253420
7105630540
oct30513664
913137283
106461364
113713578
1221b7270
131452cc0
14c02a20
15879729
hex6297b4

6461364 has 96 divisors (see below), whose sum is σ = 19054336. Its totient is φ = 1658880.

The previous prime is 6461359. The next prime is 6461369. The reversal of 6461364 is 4631646.

It is an interprime number because it is at equal distance from previous prime (6461359) and next prime (6461369).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66564 + ... + 66660.

Almost surely, 26461364 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 6461364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9527168).

6461364 is an abundant number, since it is smaller than the sum of its proper divisors (12592972).

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

6461364 is a wasteful number, since it uses less digits than its factorization.

6461364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 6461364 is about 2541.9213205762. The cubic root of 6461364 is about 186.2550553408.

The spelling of 6461364 in words is "six million, four hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 97 122 156 182 183 194 244 273 291 364 366 388 427 546 582 679 732 793 854 1092 1164 1261 1281 1358 1586 1708 2037 2379 2522 2562 2716 3172 3783 4074 4758 5044 5124 5551 5917 7566 8148 8827 9516 11102 11834 15132 16653 17654 17751 22204 23668 26481 33306 35308 35502 41419 52962 66612 71004 76921 82838 105924 124257 153842 165676 230763 248514 307684 461526 497028 538447 923052 1076894 1615341 2153788 3230682 6461364