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2913114720 = 253510160089
BaseRepresentation
bin1010110110100010…
…1001101001100000
321112000112120010210
42231220221221200
521431224132340
61201022054120
7132122031555
oct25550515140
97460476123
102913114720
11126541722a
1269371a340
133756b3229
141d8c6aa2c
15120b30180
hexada29a60

2913114720 has 96 divisors (see below), whose sum is σ = 9267320160. Its totient is φ = 769126400.

The previous prime is 2913114709. The next prime is 2913114769. The reversal of 2913114720 is 274113192.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18436 + ... + 78524.

It is an arithmetic number, because the mean of its divisors is an integer number (96534585).

Almost surely, 22913114720 is an apocalyptic number.

2913114720 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 2913114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633660080).

2913114720 is an abundant number, since it is smaller than the sum of its proper divisors (6354205440).

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

2913114720 is a wasteful number, since it uses less digits than its factorization.

2913114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60208 (or 60200 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2913114720 is about 53973.2778326460. The cubic root of 2913114720 is about 1428.1895879285.

The spelling of 2913114720 in words is "two billion, nine hundred thirteen million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 48480 60089 120178 180267 240356 300445 360534 480712 600890 721068 901335 961424 1201780 1442136 1802670 1922848 2403560 2884272 3605340 4807120 5768544 6068989 7210680 9614240 12137978 14421360 18206967 24275956 28842720 30344945 36413934 48551912 60689890 72827868 91034835 97103824 121379780 145655736 182069670 194207648 242759560 291311472 364139340 485519120 582622944 728278680 971038240 1456557360 2913114720