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4918680 = 23325131051
BaseRepresentation
bin10010110000110110011000
3100020220011100
4102300312120
52224344210
6253231400
756544114
oct22606630
910226140
104918680
11285a528
121792560
131032a80
14920744
156725c0
hex4b0d98

4918680 has 96 divisors (see below), whose sum is σ = 17231760. Its totient is φ = 1209600.

The previous prime is 4918673. The next prime is 4918681. The reversal of 4918680 is 868194.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4918681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4155 + ... + 5205.

Almost surely, 24918680 is an apocalyptic number.

4918680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4918680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615880).

4918680 is an abundant number, since it is smaller than the sum of its proper divisors (12313080).

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

4918680 is a wasteful number, since it uses less digits than its factorization.

4918680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4918680 is about 2217.8097303421. The cubic root of 4918680 is about 170.0654880333.

The spelling of 4918680 in words is "four million, nine hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1051 1170 1560 2102 2340 3153 4204 4680 5255 6306 8408 9459 10510 12612 13663 15765 18918 21020 25224 27326 31530 37836 40989 42040 47295 54652 63060 68315 75672 81978 94590 109304 122967 126120 136630 163956 189180 204945 245934 273260 327912 378360 409890 491868 546520 614835 819780 983736 1229670 1639560 2459340 4918680