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2960000960 = 26571321429
BaseRepresentation
bin1011000001101110…
…0000011111000000
321122021202121222012
42300123200133000
522030230012320
61205415032052
7133231410260
oct26033403700
97567677865
102960000960
111289930594
126a736b628
1338231b277
142011937a0
15124ce24c5
hexb06e07c0

2960000960 has 56 divisors (see below), whose sum is σ = 8055437280. Its totient is φ = 1014856704.

The previous prime is 2960000959. The next prime is 2960000963. The reversal of 2960000960 is 690000692.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960000963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 658475 + ... + 662954.

Almost surely, 22960000960 is an apocalyptic number.

2960000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2960000960 is an abundant number, since it is smaller than the sum of its proper divisors (5095436320).

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

2960000960 is a wasteful number, since it uses less digits than its factorization.

2960000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321453 (or 1321443 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 2960000960 is about 54405.8908575165. The cubic root of 2960000960 is about 1435.8110256364.

The spelling of 2960000960 in words is "two billion, nine hundred sixty million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 1321429 2642858 5285716 6607145 9250003 10571432 13214290 18500006 21142864 26428580 37000012 42285728 46250015 52857160 74000024 84571456 92500030 105714320 148000048 185000060 211428640 296000096 370000120 422857280 592000192 740000240 1480000480 2960000960