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5634960 = 243553443
BaseRepresentation
bin10101011111101110010000
3101121021201020
4111133232100
52420304320
6320435440
765616312
oct25375620
911537636
105634960
1131a96a1
121a78b80
131223ac6
14a697b2
15764940
hex55fb90

5634960 has 80 divisors (see below), whose sum is σ = 17838144. Its totient is φ = 1470976.

The previous prime is 5634949. The next prime is 5634983. The reversal of 5634960 is 694365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12499 + ... + 12941.

Almost surely, 25634960 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 5634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919072).

5634960 is an abundant number, since it is smaller than the sum of its proper divisors (12203184).

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

5634960 is a wasteful number, since it uses less digits than its factorization.

5634960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5634960 is about 2373.8070688243. The cubic root of 5634960 is about 177.9495712045.

The spelling of 5634960 in words is "five million, six hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 443 530 636 795 848 886 1060 1272 1329 1590 1772 2120 2215 2544 2658 3180 3544 4240 4430 5316 6360 6645 7088 8860 10632 12720 13290 17720 21264 23479 26580 35440 46958 53160 70437 93916 106320 117395 140874 187832 234790 281748 352185 375664 469580 563496 704370 939160 1126992 1408740 1878320 2817480 5634960