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5368464 = 243317243
BaseRepresentation
bin10100011110101010010000
3101002202011000
4110132222100
52333242324
6311022000
763426333
oct24365220
911082130
105368464
113037452
12196a900
13115c70a
149da61a
157109c9
hex51ea90

5368464 has 120 divisors (see below), whose sum is σ = 16749920. Its totient is φ = 1645056.

The previous prime is 5368459. The next prime is 5368471. The reversal of 5368464 is 4648635.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 124827 + ... + 124869.

Almost surely, 25368464 is an apocalyptic number.

5368464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5368464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374960).

5368464 is an abundant number, since it is smaller than the sum of its proper divisors (11381456).

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

5368464 is a wasteful number, since it uses less digits than its factorization.

5368464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5368464 is about 2316.9946050865. The cubic root of 5368464 is about 175.0988720196.

It can be divided in two parts, 5368 and 464, that added together give a cube (5832 = 183).

The spelling of 5368464 in words is "five million, three hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 43 48 51 54 68 72 86 102 108 129 136 144 153 172 204 216 258 272 289 306 344 387 408 432 459 516 578 612 688 731 774 816 867 918 1032 1156 1161 1224 1462 1548 1734 1836 2064 2193 2312 2322 2448 2601 2924 3096 3468 3672 4386 4624 4644 5202 5848 6192 6579 6936 7344 7803 8772 9288 10404 11696 12427 13158 13872 15606 17544 18576 19737 20808 24854 26316 31212 35088 37281 39474 41616 49708 52632 62424 74562 78948 99416 105264 111843 124848 149124 157896 198832 223686 298248 315792 335529 447372 596496 671058 894744 1342116 1789488 2684232 5368464