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2130251424 = 253719166843
BaseRepresentation
bin111111011111001…
…0000111010100000
312111110102222120220
41332332100322200
513330321021144
6551214403040
7103534560360
oct17676207240
95443388526
102130251424
119a3520474
124b5500480
1327c450402
14162cc29a0
15c7040919
hex7ef90ea0

2130251424 has 96 divisors (see below), whose sum is σ = 6727150080. Its totient is φ = 576605952.

The previous prime is 2130251393. The next prime is 2130251429. The reversal of 2130251424 is 4241520312.

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

It is a super-2 number, since 2×21302514242 = 9075942258908055552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2130251394 and 2130251403.

It is not an unprimeable number, because it can be changed into a prime (2130251429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70654 + ... + 96189.

It is an arithmetic number, because the mean of its divisors is an integer number (70074480).

Almost surely, 22130251424 is an apocalyptic number.

2130251424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130251424 is an abundant number, since it is smaller than the sum of its proper divisors (4596898656).

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

2130251424 is a wasteful number, since it uses less digits than its factorization.

2130251424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166882 (or 166874 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2130251424 is about 46154.6468299780. The cubic root of 2130251424 is about 1286.6989743141.

Adding to 2130251424 its reverse (4241520312), we get a palindrome (6371771736).

The spelling of 2130251424 in words is "two billion, one hundred thirty million, two hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 166843 333686 500529 667372 1001058 1167901 1334744 2002116 2335802 2669488 3170017 3503703 4004232 4671604 5338976 6340034 7007406 8008464 9343208 9510051 12680068 14014812 16016928 18686416 19020102 22190119 25360136 28029624 37372832 38040204 44380238 50720272 56059248 66570357 76080408 88760476 101440544 112118496 133140714 152160816 177520952 266281428 304321632 355041904 532562856 710083808 1065125712 2130251424