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2120135424 = 28311250963
BaseRepresentation
bin111111001011110…
…1011001100000000
312110202102001001020
41332113223030000
513320223313144
6550213505440
7103352565561
oct17627531400
95422361036
102120135424
11998841140
124b2042280
1327a31ab04
1416180c168
15c61e3419
hex7e5eb300

2120135424 has 72 divisors (see below), whose sum is σ = 6155644992. Its totient is φ = 642462720.

The previous prime is 2120135389. The next prime is 2120135491. The reversal of 2120135424 is 4245310212.

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 = 2120135394 and 2120135403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117034 + ... + 133929.

Almost surely, 22120135424 is an apocalyptic number.

2120135424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120135424 is an abundant number, since it is smaller than the sum of its proper divisors (4035509568).

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

2120135424 is a wasteful number, since it uses less digits than its factorization.

2120135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250993 (or 250979 counting only the distinct ones).

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

The square root of 2120135424 is about 46044.9283200658. The cubic root of 2120135424 is about 1284.6590108970.

Adding to 2120135424 its reverse (4245310212), we get a palindrome (6365445636).

The spelling of 2120135424 in words is "two billion, one hundred twenty million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 250963 501926 752889 1003852 1505778 2007704 2760593 3011556 4015408 5521186 6023112 8030816 8281779 11042372 12046224 16061632 16563558 22084744 24092448 32123264 33127116 44169488 48184896 64246528 66254232 88338976 96369792 132508464 176677952 192739584 265016928 353355904 530033856 706711808 1060067712 2120135424