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5601840 = 2435171373
BaseRepresentation
bin10101010111101000110000
3101112121021120
4111113220300
52413224330
6320022240
765420616
oct25275060
911477246
105601840
113186822
121a61980
1312119ca
14a5b6b6
15759c10
hex557a30

5601840 has 80 divisors (see below), whose sum is σ = 18400608. Its totient is φ = 1404928.

The previous prime is 5601833. The next prime is 5601859. The reversal of 5601840 is 481065.

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

It is a super-2 number, since 2×56018402 = 62761222771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5601840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394 + ... + 4766.

Almost surely, 25601840 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 5601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200304).

5601840 is an abundant number, since it is smaller than the sum of its proper divisors (12798768).

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

5601840 is a wasteful number, since it uses less digits than its factorization.

5601840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5601840 is about 2366.8206522675. The cubic root of 5601840 is about 177.6002475445.

It can be divided in two parts, 5601 and 840, that added together give a triangular number (6441 = T113).

The spelling of 5601840 in words is "five million, six hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1373 2040 2746 4080 4119 5492 6865 8238 10984 13730 16476 20595 21968 23341 27460 32952 41190 46682 54920 65904 70023 82380 93364 109840 116705 140046 164760 186728 233410 280092 329520 350115 373456 466820 560184 700230 933640 1120368 1400460 1867280 2800920 5601840