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5490135600 = 2435221121683
BaseRepresentation
bin1010001110011110…
…01101001000110000
3112011121122210012120
411013033031020300
542220433314400
62304440354240
7253023245145
oct50717151060
915147583176
105490135600
112368047154
121092775980
1369656ba61
143a120a3cc
15221ec1ca0
hex1473cd230

5490135600 has 120 divisors (see below), whose sum is σ = 17670898752. Its totient is φ = 1457030400.

The previous prime is 5490135587. The next prime is 5490135647. The reversal of 5490135600 is 65310945.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242359 + ... + 264041.

Almost surely, 25490135600 is an apocalyptic number.

5490135600 is a gapful number since it is divisible by the number (50) 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 5490135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835449376).

5490135600 is an abundant number, since it is smaller than the sum of its proper divisors (12180763152).

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

5490135600 is a wasteful number, since it uses less digits than its factorization.

5490135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21915 (or 21904 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5490135600 is about 74095.4492529737. The cubic root of 5490135600 is about 1764.1182401293.

The spelling of 5490135600 in words is "five billion, four hundred ninety million, one hundred thirty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 211 240 300 400 422 600 633 844 1055 1200 1266 1688 2110 2532 3165 3376 4220 5064 5275 6330 8440 10128 10550 12660 15825 16880 21100 21683 25320 31650 42200 43366 50640 63300 65049 84400 86732 108415 126600 130098 173464 216830 253200 260196 325245 346928 433660 520392 542075 650490 867320 1040784 1084150 1300980 1626225 1734640 2168300 2601960 3252450 4336600 4575113 5203920 6504900 8673200 9150226 13009800 13725339 18300452 22875565 26019600 27450678 36600904 45751130 54901356 68626695 73201808 91502260 109802712 114377825 137253390 183004520 219605424 228755650 274506780 343133475 366009040 457511300 549013560 686266950 915022600 1098027120 1372533900 1830045200 2745067800 5490135600