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5104960 = 26574353
BaseRepresentation
bin10011011110010101000000
3100121100200121
4103132111000
52301324320
6301230024
761251160
oct23362500
910540617
105104960
112977483
121862314
1310997b3
1496c5a0
156ac8aa
hex4de540

5104960 has 112 divisors (see below), whose sum is σ = 14484096. Its totient is φ = 1677312.

The previous prime is 5104949. The next prime is 5104961. The reversal of 5104960 is 694015.

5104960 = T107 + T108 + ... + T316.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104961) 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, 96294 + ... + 96346.

Almost surely, 25104960 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 5104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242048).

5104960 is an abundant number, since it is smaller than the sum of its proper divisors (9379136).

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

5104960 is a wasteful number, since it uses less digits than its factorization.

5104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5104960 is about 2259.4158537109. The cubic root of 5104960 is about 172.1858456335.

Adding to 5104960 its reverse (694015), we get a palindrome (5798975).

It can be divided in two parts, 5 and 104960, that multiplied together give a triangular number (524800 = T1024).

The spelling of 5104960 in words is "five million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 53 56 64 70 80 86 106 112 140 160 172 212 215 224 265 280 301 320 344 371 424 430 448 530 560 602 688 742 848 860 1060 1120 1204 1376 1484 1505 1696 1720 1855 2120 2240 2279 2408 2752 2968 3010 3392 3440 3710 4240 4558 4816 5936 6020 6880 7420 8480 9116 9632 11395 11872 12040 13760 14840 15953 16960 18232 19264 22790 23744 24080 29680 31906 36464 45580 48160 59360 63812 72928 79765 91160 96320 118720 127624 145856 159530 182320 255248 319060 364640 510496 638120 729280 1020992 1276240 2552480 5104960