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5667960 = 2335149317
BaseRepresentation
bin10101100111110001111000
3101122221222110
4111213301320
52422333320
6321252320
766114444
oct25476170
911587873
105667960
113221471
121a940a0
131235b2c
14a77824
1576e5e0
hex567c78

5667960 has 64 divisors (see below), whose sum is σ = 17172000. Its totient is φ = 1496576.

The previous prime is 5667941. The next prime is 5667971. The reversal of 5667960 is 697665.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

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, 17722 + ... + 18038.

Almost surely, 25667960 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 5667960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586000).

5667960 is an abundant number, since it is smaller than the sum of its proper divisors (11504040).

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

5667960 is a wasteful number, since it uses less digits than its factorization.

5667960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 5667960 is about 2380.7477816854. The cubic root of 5667960 is about 178.2962704783.

The spelling of 5667960 in words is "five million, six hundred sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 317 447 596 634 745 894 951 1192 1268 1490 1585 1788 1902 2235 2536 2980 3170 3576 3804 4470 4755 5960 6340 7608 8940 9510 12680 17880 19020 38040 47233 94466 141699 188932 236165 283398 377864 472330 566796 708495 944660 1133592 1416990 1889320 2833980 5667960