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5940880 = 2451143157
BaseRepresentation
bin10110101010011010010000
3102011211100121
4112222122100
53010102010
6331200024
7101332231
oct26523220
912154317
105940880
113398520
121ba6014
13130011a
14b09088
157c53da
hex5aa690

5940880 has 80 divisors (see below), whose sum is σ = 15516864. Its totient is φ = 2096640.

The previous prime is 5940841. The next prime is 5940881. The reversal of 5940880 is 880495.

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

It is not an unprimeable number, because it can be changed into a prime (5940881) 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, 37762 + ... + 37918.

Almost surely, 25940880 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 5940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758432).

5940880 is an abundant number, since it is smaller than the sum of its proper divisors (9575984).

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

5940880 is a wasteful number, since it uses less digits than its factorization.

5940880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 5940880 is about 2437.3920488916. The cubic root of 5940880 is about 181.1132650856.

The spelling of 5940880 in words is "five million, nine hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 157 172 176 215 220 314 344 430 440 473 628 688 785 860 880 946 1256 1570 1720 1727 1892 2365 2512 3140 3440 3454 3784 4730 6280 6751 6908 7568 8635 9460 12560 13502 13816 17270 18920 27004 27632 33755 34540 37840 54008 67510 69080 74261 108016 135020 138160 148522 270040 297044 371305 540080 594088 742610 1188176 1485220 2970440 5940880