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90825420 = 22357230893
BaseRepresentation
bin1010110100111…
…10001011001100
320022220102001110
411122132023030
5141222403140
613002412020
72152001100
oct532361314
9208812043
1090825420
11472a5534
1226501010
1315a8086a
14c0c3900
157e91380
hex569e2cc

90825420 has 72 divisors (see below), whose sum is σ = 295840944. Its totient is φ = 20759424.

The previous prime is 90825353. The next prime is 90825437. The reversal of 90825420 is 2452809.

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 23 ways as a sum of consecutive naturals, for example, 12507 + ... + 18386.

It is an arithmetic number, because the mean of its divisors is an integer number (4108902).

Almost surely, 290825420 is an apocalyptic number.

It is an amenable number.

90825420 is an abundant number, since it is smaller than the sum of its proper divisors (205015524).

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

90825420 is a wasteful number, since it uses less digits than its factorization.

90825420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30919 (or 30910 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 90825420 is about 9530.2371429047. The cubic root of 90825420 is about 449.5063228019.

The spelling of 90825420 in words is "ninety million, eight hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 30893 61786 92679 123572 154465 185358 216251 308930 370716 432502 463395 617860 648753 865004 926790 1081255 1297506 1513757 1853580 2162510 2595012 3027514 3243765 4325020 4541271 6055028 6487530 7568785 9082542 12975060 15137570 18165084 22706355 30275140 45412710 90825420