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5677920 = 253253943
BaseRepresentation
bin10101101010001101100000
3101200110122100
4111222031200
52423143140
6321410400
766155463
oct25521540
911613570
105677920
1132289a6
121a99a00
13123a521
14a7b2da
15772530
hex56a360

5677920 has 72 divisors (see below), whose sum is σ = 19380816. Its totient is φ = 1513728.

The previous prime is 5677913. The next prime is 5677937. The reversal of 5677920 is 297765.

5677920 is a `hidden beast` number, since 567 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (269178).

Almost surely, 25677920 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 5677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690408).

5677920 is an abundant number, since it is smaller than the sum of its proper divisors (13702896).

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

5677920 is a wasteful number, since it uses less digits than its factorization.

5677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5677920 is about 2382.8386432992. The cubic root of 5677920 is about 178.4006461666.

The spelling of 5677920 in words is "five million, six hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3943 7886 11829 15772 19715 23658 31544 35487 39430 47316 59145 63088 70974 78860 94632 118290 126176 141948 157720 177435 189264 236580 283896 315440 354870 378528 473160 567792 630880 709740 946320 1135584 1419480 1892640 2838960 5677920