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5979240 = 2332517977
BaseRepresentation
bin10110110011110001101000
3102020202222100
4112303301220
53012313430
6332053400
7101552121
oct26636150
912222870
105979240
113414323
122004260
131314717
14b19048
157d1960
hex5b3c68

5979240 has 96 divisors (see below), whose sum is σ = 20596680. Its totient is φ = 1499136.

The previous prime is 5979229. The next prime is 5979269. The reversal of 5979240 is 429795.

5979240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5963364 + 15876 = 2442^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5979195 and 5979204.

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, 5632 + ... + 6608.

Almost surely, 25979240 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 5979240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298340).

5979240 is an abundant number, since it is smaller than the sum of its proper divisors (14617440).

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

5979240 is a wasteful number, since it uses less digits than its factorization.

5979240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5979240 is about 2445.2484536341. The cubic root of 5979240 is about 181.5022425331.

The spelling of 5979240 in words is "five million, nine hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 977 1020 1224 1530 1954 2040 2931 3060 3908 4885 5862 6120 7816 8793 9770 11724 14655 16609 17586 19540 23448 29310 33218 35172 39080 43965 49827 58620 66436 70344 83045 87930 99654 117240 132872 149481 166090 175860 199308 249135 298962 332180 351720 398616 498270 597924 664360 747405 996540 1195848 1494810 1993080 2989620 5979240