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2076716160 = 27325360541
BaseRepresentation
bin111101111001000…
…0010110010000000
312100201201010000100
41323302002302000
513223114404120
6542023122400
7102314540031
oct17362026200
95321633010
102076716160
11976285652
1249b5a3400
13271327b3c
14159b48a88
15c24b8490
hex7bc82c80

2076716160 has 96 divisors (see below), whose sum is σ = 7171180380. Its totient is φ = 553789440.

The previous prime is 2076716153. The next prime is 2076716183. The reversal of 2076716160 is 616176702.

It can be written as a sum of positive squares in 2 ways, for example, as 1884949056 + 191767104 = 43416^2 + 13848^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174511 + ... + 186030.

Almost surely, 22076716160 is an apocalyptic number.

2076716160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2076716160 is an abundant number, since it is smaller than the sum of its proper divisors (5094464220).

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

2076716160 is a wasteful number, since it uses less digits than its factorization.

2076716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360566 (or 360551 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2076716160 is about 45571.0013056549. The cubic root of 2076716160 is about 1275.8287391799.

The spelling of 2076716160 in words is "two billion, seventy-six million, seven hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 360541 721082 1081623 1442164 1802705 2163246 2884328 3244869 3605410 4326492 5408115 5768656 6489738 7210820 8652984 10816230 11537312 12979476 14421640 16224345 17305968 21632460 23074624 25958952 28843280 32448690 34611936 43264920 46149248 51917904 57686560 64897380 69223872 86529840 103835808 115373120 129794760 138447744 173059680 207671616 230746240 259589520 346119360 415343232 519179040 692238720 1038358080 2076716160