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904103680 = 2855313327
BaseRepresentation
bin110101111000111…
…000011100000000
32100000020020002111
4311320320130000
53322422304210
6225414025104
731255516534
oct6570703400
92300206074
10904103680
11424385527
12212948194
131154024bc
1488107bc4
155458c88a
hex35e38700

904103680 has 72 divisors (see below), whose sum is σ = 2206636992. Its totient is φ = 354791424.

The previous prime is 904103659. The next prime is 904103687. The reversal of 904103680 is 86301409.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904103687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61177 + ... + 74503.

It is an arithmetic number, because the mean of its divisors is an integer number (30647736).

Almost surely, 2904103680 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 904103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103318496).

904103680 is an abundant number, since it is smaller than the sum of its proper divisors (1302533312).

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

904103680 is a wasteful number, since it uses less digits than its factorization.

904103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 904103680 is about 30068.3168800650. The cubic root of 904103680 is about 966.9545893556.

The spelling of 904103680 in words is "nine hundred four million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 3392 4240 6784 8480 13327 13568 16960 26654 33920 53308 66635 67840 106616 133270 213232 266540 426464 533080 706331 852928 1066160 1412662 1705856 2132320 2825324 3411712 3531655 4264640 5650648 7063310 8529280 11301296 14126620 17058560 22602592 28253240 45205184 56506480 90410368 113012960 180820736 226025920 452051840 904103680