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553783680 = 27325791217
BaseRepresentation
bin100001000000100…
…001000110000000
31102121001010101200
4201000201012000
52113232034210
6130541301200
716503040452
oct4100410600
91377033350
10553783680
1126466196a
12135564800
138a966768
14537962d2
153393e0c0
hex21021180

553783680 has 192 divisors, whose sum is σ = 1938081600. Its totient is φ = 145686528.

The previous prime is 553783667. The next prime is 553783693. The reversal of 553783680 is 86387355.

553783680 is a `hidden beast` number, since 5 + 537 + 8 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (553783667) and next prime (553783693).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 454432 + ... + 455648.

It is an arithmetic number, because the mean of its divisors is an integer number (10094175).

Almost surely, 2553783680 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 553783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969040800).

553783680 is an abundant number, since it is smaller than the sum of its proper divisors (1384297920).

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

553783680 is a wasteful number, since it uses less digits than its factorization.

553783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 553783680 is about 23532.6088651471. The cubic root of 553783680 is about 821.1957964824.

The spelling of 553783680 in words is "five hundred fifty-three million, seven hundred eighty-three thousand, six hundred eighty".