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5695872 = 273713163
BaseRepresentation
bin10101101110100110000000
3101201101021020
4111232212000
52424231442
6322025440
766262020
oct25564600
911641236
105695872
113240436
121aa8280
131245750
14a83a80
157779ec
hex56e980

5695872 has 128 divisors (see below), whose sum is σ = 18735360. Its totient is φ = 1492992.

The previous prime is 5695853. The next prime is 5695897. The reversal of 5695872 is 2785965.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (151200) is a multiple of the sum of its prime factors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34863 + ... + 35025.

It is an arithmetic number, because the mean of its divisors is an integer number (146370).

Almost surely, 25695872 is an apocalyptic number.

5695872 is a gapful number since it is divisible by the number (52) 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 5695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367680).

5695872 is an abundant number, since it is smaller than the sum of its proper divisors (13039488).

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

5695872 is a wasteful number, since it uses less digits than its factorization.

5695872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5695872 is about 2386.6026062166. The cubic root of 5695872 is about 178.5884660620.

It can be divided in two parts, 569 and 5872, that added together give a triangular number (6441 = T113).

The spelling of 5695872 in words is "five million, six hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 163 168 182 192 208 224 273 312 326 336 364 384 416 448 489 546 624 652 672 728 832 896 978 1092 1141 1248 1304 1344 1456 1664 1956 2119 2184 2282 2496 2608 2688 2912 3423 3912 4238 4368 4564 4992 5216 5824 6357 6846 7824 8476 8736 9128 10432 11648 12714 13692 14833 15648 16952 17472 18256 20864 25428 27384 29666 31296 33904 34944 36512 44499 50856 54768 59332 62592 67808 73024 88998 101712 109536 118664 135616 146048 177996 203424 219072 237328 271232 355992 406848 438144 474656 711984 813696 949312 1423968 1898624 2847936 5695872