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4874160 = 243523883
BaseRepresentation
bin10010100101111110110000
3100011122002110
4102211332300
52221433120
6252245320
756300244
oct22457660
910148073
104874160
11282a035
121770840
131018725
1490c424
156642e0
hex4a5fb0

4874160 has 80 divisors (see below), whose sum is σ = 15784704. Its totient is φ = 1241856.

The previous prime is 4874141. The next prime is 4874173. The reversal of 4874160 is 614784.

4874160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5079 + ... + 5961.

Almost surely, 24874160 is an apocalyptic number.

4874160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352).

4874160 is an abundant number, since it is smaller than the sum of its proper divisors (10910544).

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

4874160 is a wasteful number, since it uses less digits than its factorization.

4874160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4874160 is about 2207.7499858453. The cubic root of 4874160 is about 169.5508327277.

The spelling of 4874160 in words is "four million, eight hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 883 920 1104 1380 1766 1840 2649 2760 3532 4415 5298 5520 7064 8830 10596 13245 14128 17660 20309 21192 26490 35320 40618 42384 52980 60927 70640 81236 101545 105960 121854 162472 203090 211920 243708 304635 324944 406180 487416 609270 812360 974832 1218540 1624720 2437080 4874160