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2115515340 = 2233515724953
BaseRepresentation
bin111111000011000…
…0011001111001100
312110102201022111000
41332012003033030
513313032442330
6545530500300
7103265404131
oct17606031714
95412638430
102115515340
11996175a94
124b0594690
13279390c33
14160d68588
15c5ace560
hex7e1833cc

2115515340 has 96 divisors (see below), whose sum is σ = 6623789760. Its totient is φ = 560521728.

The previous prime is 2115515323. The next prime is 2115515341. The reversal of 2115515340 is 435155112.

2115515340 is a `hidden beast` number, since 2 + 115 + 515 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2115515341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72304 + ... + 97256.

It is an arithmetic number, because the mean of its divisors is an integer number (68997810).

Almost surely, 22115515340 is an apocalyptic number.

2115515340 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 2115515340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311894880).

2115515340 is an abundant number, since it is smaller than the sum of its proper divisors (4508274420).

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

2115515340 is a wasteful number, since it uses less digits than its factorization.

2115515340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25128 (or 25120 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2115515340 is about 45994.7316548319. The cubic root of 2115515340 is about 1283.7251791950.

The spelling of 2115515340 in words is "two billion, one hundred fifteen million, five hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 14130 16956 21195 24953 28260 42390 49906 74859 84780 99812 124765 149718 224577 249530 299436 374295 449154 499060 673731 748590 898308 1122885 1347462 1497180 2245770 2694924 3368655 3917621 4491540 6737310 7835242 11752863 13474620 15670484 19588105 23505726 35258589 39176210 47011452 58764315 70517178 78352420 105775767 117528630 141034356 176292945 211551534 235057260 352585890 423103068 528878835 705171780 1057757670 2115515340