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4525680 = 2435109173
BaseRepresentation
bin10001010000111001110000
322111221001210
4101100321300
52124310210
6241000120
753316255
oct21207160
98457053
104525680
112611235
121623040
13c25c23
1485b42c
155e5e20
hex450e70

4525680 has 80 divisors (see below), whose sum is σ = 14240160. Its totient is φ = 1188864.

The previous prime is 4525663. The next prime is 4525693. The reversal of 4525680 is 865254.

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 a congruent number.

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, 26074 + ... + 26246.

It is an arithmetic number, because the mean of its divisors is an integer number (178002).

Almost surely, 24525680 is an apocalyptic number.

4525680 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 4525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120080).

4525680 is an abundant number, since it is smaller than the sum of its proper divisors (9714480).

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

4525680 is a wasteful number, since it uses less digits than its factorization.

4525680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4525680 is about 2127.3645667821. The cubic root of 4525680 is about 165.4098169081.

The spelling of 4525680 in words is "four million, five hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 173 218 240 327 346 436 519 545 654 692 865 872 1038 1090 1308 1384 1635 1730 1744 2076 2180 2595 2616 2768 3270 3460 4152 4360 5190 5232 6540 6920 8304 8720 10380 13080 13840 18857 20760 26160 37714 41520 56571 75428 94285 113142 150856 188570 226284 282855 301712 377140 452568 565710 754280 905136 1131420 1508560 2262840 4525680