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1002942160 = 245115692003
BaseRepresentation
bin111011110001111…
…010111011010000
32120220012201222221
4323301322323100
54023223122120
6243304310424
733565603423
oct7361727320
92526181887
101002942160
11475153320
1223ba72414
1312ca2a3cc
14972b59ba
155d0b30aa
hex3bc7aed0

1002942160 has 80 divisors (see below), whose sum is σ = 2549568960. Its totient is φ = 363883520.

The previous prime is 1002942139. The next prime is 1002942167. The reversal of 1002942160 is 612492001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002942167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499719 + ... + 501721.

It is an arithmetic number, because the mean of its divisors is an integer number (31869612).

Almost surely, 21002942160 is an apocalyptic number.

1002942160 is a gapful number since it is divisible by the number (10) 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 1002942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274784480).

1002942160 is an abundant number, since it is smaller than the sum of its proper divisors (1546626800).

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

1002942160 is a wasteful number, since it uses less digits than its factorization.

1002942160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1002942160 is about 31669.2620690789. The cubic root of 1002942160 is about 1000.9797597573.

The spelling of 1002942160 in words is "one billion, two million, nine hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 569 880 1138 2003 2276 2845 4006 4552 5690 6259 8012 9104 10015 11380 12518 16024 20030 22033 22760 25036 31295 32048 40060 44066 45520 50072 62590 80120 88132 100144 110165 125180 160240 176264 220330 250360 352528 440660 500720 881320 1139707 1762640 2279414 4558828 5698535 9117656 11397070 12536777 18235312 22794140 25073554 45588280 50147108 62683885 91176560 100294216 125367770 200588432 250735540 501471080 1002942160