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5627640 = 2335232039
BaseRepresentation
bin10101011101111011111000
3101120220200010
4111131323320
52420041030
6320341520
765556054
oct25357370
911526603
105627640
1131a4147
121a748a0
131220685
14a66c64
157626b0
hex55def8

5627640 has 64 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1434752.

The previous prime is 5627627. The next prime is 5627641. The reversal of 5627640 is 467265.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5627598 and 5627607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1741 + ... + 3779.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 25627640 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 5627640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5627640 is an abundant number, since it is smaller than the sum of its proper divisors (11997960).

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

5627640 is a wasteful number, since it uses less digits than its factorization.

5627640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5627640 is about 2372.2647407067. The cubic root of 5627640 is about 177.8724836828.

The spelling of 5627640 in words is "five million, six hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2039 2760 4078 6117 8156 10195 12234 16312 20390 24468 30585 40780 46897 48936 61170 81560 93794 122340 140691 187588 234485 244680 281382 375176 468970 562764 703455 937940 1125528 1406910 1875880 2813820 5627640