[go: up one dir, main page]

Search a number
-
+
5734656 = 283219131
BaseRepresentation
bin10101111000000100000000
3101210100110200
4111320010000
52432002111
6322525200
766513054
oct25700400
911710420
105734656
113267594
121b06800
13125a2b5
14a93c64
15784256
hex578100

5734656 has 108 divisors (see below), whose sum is σ = 17537520. Its totient is φ = 1797120.

The previous prime is 5734643. The next prime is 5734669. The reversal of 5734656 is 6564375.

It is an interprime number because it is at equal distance from previous prime (5734643) and next prime (5734669).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5734656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43711 + ... + 43841.

Almost surely, 25734656 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 5734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768760).

5734656 is an abundant number, since it is smaller than the sum of its proper divisors (11802864).

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

5734656 is a wasteful number, since it uses less digits than its factorization.

5734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5734656 is about 2394.7141791872. The cubic root of 5734656 is about 178.9928942385.

The spelling of 5734656 in words is "five million, seven hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 131 144 152 171 192 228 256 262 288 304 342 384 393 456 524 576 608 684 768 786 912 1048 1152 1179 1216 1368 1572 1824 2096 2304 2358 2432 2489 2736 3144 3648 4192 4716 4864 4978 5472 6288 7296 7467 8384 9432 9956 10944 12576 14592 14934 16768 18864 19912 21888 22401 25152 29868 33536 37728 39824 43776 44802 50304 59736 75456 79648 89604 100608 119472 150912 159296 179208 238944 301824 318592 358416 477888 637184 716832 955776 1433664 1911552 2867328 5734656