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2113049520 = 243254216971
BaseRepresentation
bin111110111110010…
…1001001110110000
312110021002001000100
41331330221032300
513311420041040
6545401552400
7103235424141
oct17574511660
95407061010
102113049520
1199484141a
124ab7a5700
13278a0977a
141608c5ac8
15c5793b30
hex7df293b0

2113049520 has 120 divisors (see below), whose sum is σ = 7114200912. Its totient is φ = 562060800.

The previous prime is 2113049509. The next prime is 2113049573. The reversal of 2113049520 is 259403112.

2113049520 is a `hidden beast` number, since 2 + 1 + 130 + 4 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299635 + ... + 306605.

Almost surely, 22113049520 is an apocalyptic number.

2113049520 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 2113049520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557100456).

2113049520 is an abundant number, since it is smaller than the sum of its proper divisors (5001151392).

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

2113049520 is a wasteful number, since it uses less digits than its factorization.

2113049520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2113049520 is about 45967.9183779296. The cubic root of 2113049520 is about 1283.2262202537.

The spelling of 2113049520 in words is "two billion, one hundred thirteen million, forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 421 720 842 1263 1684 2105 2526 3368 3789 4210 5052 6315 6736 6971 7578 8420 10104 12630 13942 15156 16840 18945 20208 20913 25260 27884 30312 33680 34855 37890 41826 50520 55768 60624 62739 69710 75780 83652 101040 104565 111536 125478 139420 151560 167304 209130 250956 278840 303120 313695 334608 418260 501912 557680 627390 836520 1003824 1254780 1673040 2509560 2934791 5019120 5869582 8804373 11739164 14673955 17608746 23478328 26413119 29347910 35217492 44021865 46956656 52826238 58695820 70434984 88043730 105652476 117391640 132065595 140869968 176087460 211304952 234783280 264131190 352174920 422609904 528262380 704349840 1056524760 2113049520