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2140132410 = 2325137125763
BaseRepresentation
bin111111110001111…
…1101010000111010
312112011000222202100
41333203331100322
513340333214120
6552210244230
7104014553043
oct17743752072
95464028670
102140132410
119a905a179
124b8886676
132814cca50
141643358ca
15c7d43490
hex7f8fd43a

2140132410 has 96 divisors (see below), whose sum is σ = 6077006208. Its totient is φ = 519361920.

The previous prime is 2140132409. The next prime is 2140132427. The reversal of 2140132410 is 142310412.

2140132410 is a `hidden beast` number, since 21 + 401 + 3 + 241 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70189 + ... + 95951.

It is an arithmetic number, because the mean of its divisors is an integer number (63302148).

Almost surely, 22140132410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038503104).

2140132410 is an abundant number, since it is smaller than the sum of its proper divisors (3936873798).

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

2140132410 is a wasteful number, since it uses less digits than its factorization.

2140132410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25860 (or 25857 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2140132410 is about 46261.5651486199. The cubic root of 2140132410 is about 1288.6853200787.

Adding to 2140132410 its reverse (142310412), we get a palindrome (2282442822).

The spelling of 2140132410 in words is "two billion, one hundred forty million, one hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 195 213 234 355 390 426 585 639 710 923 1065 1170 1278 1846 2130 2769 3195 4615 5538 6390 8307 9230 13845 16614 25763 27690 41535 51526 77289 83070 128815 154578 231867 257630 334919 386445 463734 669838 772890 1004757 1159335 1674595 1829173 2009514 2318670 3014271 3349190 3658346 5023785 5487519 6028542 9145865 10047570 10975038 15071355 16462557 18291730 23779249 27437595 30142710 32925114 47558498 54875190 71337747 82312785 118896245 142675494 164625570 214013241 237792490 356688735 428026482 713377470 1070066205 2140132410