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5677440 = 27352957
BaseRepresentation
bin10101101010000110000000
3101200102222120
4111222012000
52423134230
6321404240
766154206
oct25520600
911612876
105677440
1132285aa
121a99680
13123a242
14a7b076
15772310
hex56a180

5677440 has 64 divisors (see below), whose sum is σ = 18102960. Its totient is φ = 1513472.

The previous prime is 5677423. The next prime is 5677457. The reversal of 5677440 is 447765.

It is an interprime number because it is at equal distance from previous prime (5677423) and next prime (5677457).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 442 + ... + 3398.

Almost surely, 25677440 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 5677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051480).

5677440 is an abundant number, since it is smaller than the sum of its proper divisors (12425520).

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

5677440 is a wasteful number, since it uses less digits than its factorization.

5677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 5677440 is about 2382.7379209640. The cubic root of 5677440 is about 178.3956188136.

The spelling of 5677440 in words is "five million, six hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2957 5914 8871 11828 14785 17742 23656 29570 35484 44355 47312 59140 70968 88710 94624 118280 141936 177420 189248 236560 283872 354840 378496 473120 567744 709680 946240 1135488 1419360 1892480 2838720 5677440