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5690640 = 2435131181
BaseRepresentation
bin10101101101010100010000
3101201010002110
4111231110100
52424100030
6321545320
766240534
oct25552420
911633073
105690640
11323750a
121aa5240
131243257
14a81bc4
157761b0
hex56d510

5690640 has 80 divisors (see below), whose sum is σ = 17873856. Its totient is φ = 1497600.

The previous prime is 5690627. The next prime is 5690651. The reversal of 5690640 is 460965.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5690598 and 5690607.

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, 31350 + ... + 31530.

Almost surely, 25690640 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 5690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928).

5690640 is an abundant number, since it is smaller than the sum of its proper divisors (12183216).

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

5690640 is a wasteful number, since it uses less digits than its factorization.

5690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5690640 is about 2385.5062355819. The cubic root of 5690640 is about 178.5337679056.

The spelling of 5690640 in words is "five million, six hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 181 240 262 362 393 524 543 655 724 786 905 1048 1086 1310 1448 1572 1810 1965 2096 2172 2620 2715 2896 3144 3620 3930 4344 5240 5430 6288 7240 7860 8688 10480 10860 14480 15720 21720 23711 31440 43440 47422 71133 94844 118555 142266 189688 237110 284532 355665 379376 474220 569064 711330 948440 1138128 1422660 1896880 2845320 5690640