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2132024640 = 26355341903
BaseRepresentation
bin111111100010100…
…0001110101000000
312111120210001222120
41333011001311000
513331244242030
6551320404240
7103555624164
oct17705016500
95446701876
102132024640
119a4521739
124b6016680
1327c921555
14163224ca4
15c7291010
hex7f141d40

2132024640 has 112 divisors (see below), whose sum is σ = 6897063168. Its totient is φ = 557799424.

The previous prime is 2132024627. The next prime is 2132024651. The reversal of 2132024640 is 464202312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2132024640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29929 + ... + 71831.

Almost surely, 22132024640 is an apocalyptic number.

2132024640 is a gapful number since it is divisible by the number (20) 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 2132024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448531584).

2132024640 is an abundant number, since it is smaller than the sum of its proper divisors (4765038528).

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

2132024640 is a wasteful number, since it uses less digits than its factorization.

2132024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41976 (or 41966 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2132024640 is about 46173.8523409083. The cubic root of 2132024640 is about 1287.0558903117.

Adding to 2132024640 its reverse (464202312), we get a palindrome (2596226952).

The spelling of 2132024640 in words is "two billion, one hundred thirty-two million, twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 25440 41903 50880 83806 125709 167612 209515 251418 335224 419030 502836 628545 670448 838060 1005672 1257090 1340896 1676120 2011344 2220859 2514180 2681792 3352240 4022688 4441718 5028360 6662577 6704480 8045376 8883436 10056720 11104295 13325154 13408960 17766872 20113440 22208590 26650308 33312885 35533744 40226880 44417180 53300616 66625770 71067488 88834360 106601232 133251540 142134976 177668720 213202464 266503080 355337440 426404928 533006160 710674880 1066012320 2132024640