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5300880 = 2435131699
BaseRepresentation
bin10100001110001010010000
3100222022102220
4110032022100
52324112010
6305341040
763025314
oct24161220
910868386
105300880
112aa06a2
121937780
131137a20
149bdb44
156ea970
hex50e290

5300880 has 80 divisors (see below), whose sum is σ = 17707200. Its totient is φ = 1304064.

The previous prime is 5300863. The next prime is 5300891. The reversal of 5300880 is 880035.

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 (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5300880.

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, 2271 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 25300880 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 5300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853600).

5300880 is an abundant number, since it is smaller than the sum of its proper divisors (12406320).

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

5300880 is a wasteful number, since it uses less digits than its factorization.

5300880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1722 counting only the distinct ones).

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

The square root of 5300880 is about 2302.3640024983. The cubic root of 5300880 is about 174.3609892264.

The spelling of 5300880 in words is "five million, three hundred thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1699 3120 3398 5097 6796 8495 10194 13592 16990 20388 22087 25485 27184 33980 40776 44174 50970 66261 67960 81552 88348 101940 110435 132522 135920 176696 203880 220870 265044 331305 353392 407760 441740 530088 662610 883480 1060176 1325220 1766960 2650440 5300880