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5913120 = 253597127
BaseRepresentation
bin10110100011101000100000
3102010102021110
4112203220200
53003204440
6330423320
7101155263
oct26435040
912112243
105913120
113379684
121b91b40
1312c05b5
14adccda
157bc080
hex5a3a20

5913120 has 96 divisors (see below), whose sum is σ = 18966528. Its totient is φ = 1548288.

The previous prime is 5913109. The next prime is 5913121. The reversal of 5913120 is 213195.

5913120 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5913121) 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, 46497 + ... + 46623.

It is an arithmetic number, because the mean of its divisors is an integer number (197568).

Almost surely, 25913120 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 5913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483264).

5913120 is an abundant number, since it is smaller than the sum of its proper divisors (13053408).

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

5913120 is a wasteful number, since it uses less digits than its factorization.

5913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5913120 is about 2431.6907698143. The cubic root of 5913120 is about 180.8307280636.

The spelling of 5913120 in words is "five million, nine hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 127 160 194 240 254 291 381 388 480 485 508 582 635 762 776 970 1016 1164 1270 1455 1524 1552 1905 1940 2032 2328 2540 2910 3048 3104 3810 3880 4064 4656 5080 5820 6096 7620 7760 9312 10160 11640 12192 12319 15240 15520 20320 23280 24638 30480 36957 46560 49276 60960 61595 73914 98552 123190 147828 184785 197104 246380 295656 369570 394208 492760 591312 739140 985520 1182624 1478280 1971040 2956560 5913120