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553304960 = 2751373911
BaseRepresentation
bin100000111110101…
…100001110000000
31102120010210201022
4200332230032000
52113121224320
6130523125012
716466004665
oct4076541600
91376123638
10553304960
1126436522a
12135373768
138a8298b0
14536ada6c
1533897325
hex20fac380

553304960 has 128 divisors (see below), whose sum is σ = 1445592960. Its totient is φ = 201277440.

The previous prime is 553304959. The next prime is 553304971. The reversal of 553304960 is 69403355.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5533049602 = 612292757521203200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 553304960.

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, 606905 + ... + 607815.

It is an arithmetic number, because the mean of its divisors is an integer number (11293695).

Almost surely, 2553304960 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 553304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722796480).

553304960 is an abundant number, since it is smaller than the sum of its proper divisors (892288000).

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

553304960 is a wasteful number, since it uses less digits than its factorization.

553304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 553304960 is about 23522.4352480775. The cubic root of 553304960 is about 820.9590998569.

The spelling of 553304960 in words is "five hundred fifty-three million, three hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 104 128 130 146 160 208 260 292 320 365 416 520 584 640 730 832 911 949 1040 1168 1460 1664 1822 1898 2080 2336 2920 3644 3796 4160 4555 4672 4745 5840 7288 7592 8320 9110 9344 9490 11680 11843 14576 15184 18220 18980 23360 23686 29152 30368 36440 37960 46720 47372 58304 59215 60736 66503 72880 75920 94744 116608 118430 121472 133006 145760 151840 189488 236860 266012 291520 303680 332515 378976 473720 532024 583040 607360 665030 757952 864539 947440 1064048 1330060 1515904 1729078 1894880 2128096 2660120 3458156 3789760 4256192 4322695 5320240 6916312 7579520 8512384 8645390 10640480 13832624 17290780 21280960 27665248 34581560 42561920 55330496 69163120 110660992 138326240 276652480 553304960