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5314920 = 2335133407
BaseRepresentation
bin10100010001100101101000
3101000000200220
4110101211220
52330034140
6305530040
763114252
oct24214550
911000626
105314920
1130001a6
121943920
131141230
149c4cd2
156eebd0
hex511968

5314920 has 64 divisors (see below), whose sum is σ = 17176320. Its totient is φ = 1307904.

The previous prime is 5314873. The next prime is 5314951. The reversal of 5314920 is 294135.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 314 + 1 + 44 + 96 + 27 + 0 .

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, 144 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (268380).

Almost surely, 25314920 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 5314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588160).

5314920 is an abundant number, since it is smaller than the sum of its proper divisors (11861400).

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

5314920 is a wasteful number, since it uses less digits than its factorization.

5314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5314920 is about 2305.4110262597. The cubic root of 5314920 is about 174.5147920017.

The spelling of 5314920 in words is "five million, three hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3407 6814 10221 13628 17035 20442 27256 34070 40884 44291 51105 68140 81768 88582 102210 132873 136280 177164 204420 221455 265746 354328 408840 442910 531492 664365 885820 1062984 1328730 1771640 2657460 5314920