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5990640 = 2435109229
BaseRepresentation
bin10110110110100011110000
3102021100121120
4112312203300
53013200030
6332222240
7101630265
oct26664360
912240546
105990640
113421947
12200a980
131319976
14b1d26c
157d5010
hex5b68f0

5990640 has 80 divisors (see below), whose sum is σ = 18823200. Its totient is φ = 1575936.

The previous prime is 5990629. The next prime is 5990651. The reversal of 5990640 is 460995.

It is a happy number.

5990640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5990629) and next prime (5990651).

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 26046 + ... + 26274.

It is an arithmetic number, because the mean of its divisors is an integer number (235290).

Almost surely, 25990640 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 5990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411600).

5990640 is an abundant number, since it is smaller than the sum of its proper divisors (12832560).

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

5990640 is a wasteful number, since it uses less digits than its factorization.

5990640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 5990640 is about 2447.5783950673. The cubic root of 5990640 is about 181.6175198348.

The spelling of 5990640 in words is "five million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 229 240 327 436 458 545 654 687 872 916 1090 1145 1308 1374 1635 1744 1832 2180 2290 2616 2748 3270 3435 3664 4360 4580 5232 5496 6540 6870 8720 9160 10992 13080 13740 18320 24961 26160 27480 49922 54960 74883 99844 124805 149766 199688 249610 299532 374415 399376 499220 599064 748830 998440 1198128 1497660 1996880 2995320 5990640