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2132102640 = 243554116421
BaseRepresentation
bin111111100010101…
…0100110111110000
312111120221000222110
41333011110313300
513331304241030
6551322205320
7103556400453
oct17705246760
95446830873
102132102640
119a45752a8
124b6053840
1327c94abc5
1416324549a
15c72a91b0
hex7f154df0

2132102640 has 80 divisors (see below), whose sum is σ = 6622138656. Its totient is φ = 567475200.

The previous prime is 2132102629. The next prime is 2132102671. The reversal of 2132102640 is 462012312.

It is a tau number, because it is divible by the number of its divisors (80).

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, 121630 + ... + 138050.

Almost surely, 22132102640 is an apocalyptic number.

2132102640 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 2132102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311069328).

2132102640 is an abundant number, since it is smaller than the sum of its proper divisors (4490036016).

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

2132102640 is a wasteful number, since it uses less digits than its factorization.

2132102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16978 (or 16972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2132102640 is about 46174.6969670619. The cubic root of 2132102640 is about 1287.0715857424.

Adding to 2132102640 its reverse (462012312), we get a palindrome (2594114952).

The spelling of 2132102640 in words is "two billion, one hundred thirty-two million, one hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 541 1082 1623 2164 2705 3246 4328 5410 6492 8115 8656 10820 12984 16230 16421 21640 25968 32460 32842 43280 49263 64920 65684 82105 98526 129840 131368 164210 197052 246315 262736 328420 394104 492630 656840 788208 985260 1313680 1970520 3941040 8883761 17767522 26651283 35535044 44418805 53302566 71070088 88837610 106605132 133256415 142140176 177675220 213210264 266512830 355350440 426420528 533025660 710700880 1066051320 2132102640