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5435680 = 25553641
BaseRepresentation
bin10100101111000100100000
3101020011100111
4110233010200
52342420210
6312301104
764126315
oct24570440
911204314
105435680
1130829a8
1219a1794
1311841a3
14a16d0c
1572588a
hex52f120

5435680 has 48 divisors (see below), whose sum is σ = 13104504. Its totient is φ = 2129920.

The previous prime is 5435663. The next prime is 5435681. The reversal of 5435680 is 865345.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 71824 = 2316^2 + 268^2 .

It is not an unprimeable number, because it can be changed into a prime (5435681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8160 + ... + 8800.

Almost surely, 25435680 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 5435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552252).

5435680 is an abundant number, since it is smaller than the sum of its proper divisors (7668824).

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

5435680 is a wasteful number, since it uses less digits than its factorization.

5435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5435680 is about 2331.4544816487. The cubic root of 5435680 is about 175.8266198905.

The spelling of 5435680 in words is "five million, four hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 641 848 1060 1282 1696 2120 2564 3205 4240 5128 6410 8480 10256 12820 20512 25640 33973 51280 67946 102560 135892 169865 271784 339730 543568 679460 1087136 1358920 2717840 5435680