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2139787580 = 225722368539
BaseRepresentation
bin111111110001010…
…1001000100111100
312112010101110201212
41333202221010330
513340241200310
6552155023552
7104011615520
oct17742510474
95463343655
102139787580
119a8944097
124b873abb8
1328140bac8
14164285d80
15c7cc6205
hex7f8a913c

2139787580 has 48 divisors (see below), whose sum is σ = 5158594560. Its totient is φ = 730340928.

The previous prime is 2139787577. The next prime is 2139787583. The reversal of 2139787580 is 857879312.

It is an interprime number because it is at equal distance from previous prime (2139787577) and next prime (2139787583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139787583) 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, 3050 + ... + 65489.

It is an arithmetic number, because the mean of its divisors is an integer number (107470720).

Almost surely, 22139787580 is an apocalyptic number.

2139787580 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 2139787580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579297280).

2139787580 is an abundant number, since it is smaller than the sum of its proper divisors (3018806980).

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

2139787580 is a wasteful number, since it uses less digits than its factorization.

2139787580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68778 (or 68776 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 2139787580 is about 46257.8380385422. The cubic root of 2139787580 is about 1288.6161029864.

The spelling of 2139787580 in words is "two billion, one hundred thirty-nine million, seven hundred eighty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 15610 31220 68539 137078 274156 342695 479773 685390 959546 1370780 1919092 2398865 4797730 9595460 15284197 30568394 61136788 76420985 106989379 152841970 213978758 305683940 427957516 534946895 1069893790 2139787580