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5690496 = 27372973
BaseRepresentation
bin10101101101010010000000
3101201002220010
4111231102000
52424043441
6321544520
766240240
oct25552200
911632803
105690496
113237399
121aa5140
131243176
14a81b20
15776116
hex56d480

5690496 has 128 divisors (see below), whose sum is σ = 18115200. Its totient is φ = 1548288.

The previous prime is 5690483. The next prime is 5690497. The reversal of 5690496 is 6940965.

5690496 = T203 + T204 + ... + T348.

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

It is not an unprimeable number, because it can be changed into a prime (5690497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77916 + ... + 77988.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 25690496 is an apocalyptic number.

5690496 is a gapful number since it is divisible by the number (56) 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 5690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057600).

5690496 is an abundant number, since it is smaller than the sum of its proper divisors (12424704).

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

5690496 is a wasteful number, since it uses less digits than its factorization.

5690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5690496 is about 2385.4760531181. The cubic root of 5690496 is about 178.5322619777.

The spelling of 5690496 in words is "five million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 73 84 87 96 112 116 128 146 168 174 192 203 219 224 232 292 336 348 384 406 438 448 464 511 584 609 672 696 812 876 896 928 1022 1168 1218 1344 1392 1533 1624 1752 1856 2044 2117 2336 2436 2688 2784 3066 3248 3504 3712 4088 4234 4672 4872 5568 6132 6351 6496 7008 8176 8468 9344 9744 11136 12264 12702 12992 14016 14819 16352 16936 19488 24528 25404 25984 28032 29638 32704 33872 38976 44457 49056 50808 59276 65408 67744 77952 88914 98112 101616 118552 135488 177828 196224 203232 237104 270976 355656 406464 474208 711312 812928 948416 1422624 1896832 2845248 5690496