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5131840 = 26572979
BaseRepresentation
bin10011100100111001000000
3100122201120011
4103210321000
52303204330
6301554304
761422430
oct23447100
910581504
105131840
11299569a
121875994
1310a8abc
149782c0
156b582a
hex4e4e40

5131840 has 112 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 1677312.

The previous prime is 5131823. The next prime is 5131849. The reversal of 5131840 is 481315.

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

It is not an unprimeable number, because it can be changed into a prime (5131849) 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, 64921 + ... + 64999.

Almost surely, 25131840 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 5131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

5131840 is an abundant number, since it is smaller than the sum of its proper divisors (9498560).

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

5131840 is a wasteful number, since it uses less digits than its factorization.

5131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 5131840 is about 2265.3564840881. The cubic root of 5131840 is about 172.4875297293.

The spelling of 5131840 in words is "five million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 79 80 112 116 140 145 158 160 203 224 232 280 290 316 320 395 406 448 464 553 560 580 632 790 812 928 1015 1106 1120 1160 1264 1580 1624 1856 2030 2212 2240 2291 2320 2528 2765 3160 3248 4060 4424 4582 4640 5056 5530 6320 6496 8120 8848 9164 9280 11060 11455 12640 12992 16037 16240 17696 18328 22120 22910 25280 32074 32480 35392 36656 44240 45820 64148 64960 73312 80185 88480 91640 128296 146624 160370 176960 183280 256592 320740 366560 513184 641480 733120 1026368 1282960 2565920 5131840