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2116594740 = 22351316716249
BaseRepresentation
bin111111000101000…
…1010110000110100
312110111202011010210
41332022022300310
513313322012430
6550005545420
7103310521101
oct17612126064
95414664123
102116594740
11996842a57
124b0a15270
1327967b330
14161169aa8
15c5c442b0
hex7e28ac34

2116594740 has 96 divisors (see below), whose sum is σ = 6420960000. Its totient is φ = 517856256.

The previous prime is 2116594729. The next prime is 2116594759. The reversal of 2116594740 is 474956112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122136 + ... + 138384.

It is an arithmetic number, because the mean of its divisors is an integer number (66885000).

Almost surely, 22116594740 is an apocalyptic number.

2116594740 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 2116594740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480000).

2116594740 is an abundant number, since it is smaller than the sum of its proper divisors (4304365260).

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

2116594740 is a wasteful number, since it uses less digits than its factorization.

2116594740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16441 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2116594740 is about 46006.4641110355. The cubic root of 2116594740 is about 1283.9434738947.

The spelling of 2116594740 in words is "two billion, one hundred sixteen million, five hundred ninety-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 167 195 260 334 390 501 668 780 835 1002 1670 2004 2171 2505 3340 4342 5010 6513 8684 10020 10855 13026 16249 21710 26052 32498 32565 43420 48747 64996 65130 81245 97494 130260 162490 194988 211237 243735 324980 422474 487470 633711 844948 974940 1056185 1267422 2112370 2534844 2713583 3168555 4224740 5427166 6337110 8140749 10854332 12674220 13567915 16281498 27135830 32562996 35276579 40703745 54271660 70553158 81407490 105829737 141106316 162814980 176382895 211659474 352765790 423318948 529148685 705531580 1058297370 2116594740