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2156416140 = 2235193318593
BaseRepresentation
bin1000000010001000…
…0100110010001100
312120021200021211110
42000202010302030
513404020304030
6553551252020
7104303143344
oct20042046214
95507607743
102156416140
11a072713aa
1250221a010
132849b17a8
14166573d24
15c94ad1b0
hex80884c8c

2156416140 has 48 divisors (see below), whose sum is σ = 6041413728. Its totient is φ = 574715904.

The previous prime is 2156416139. The next prime is 2156416151. The reversal of 2156416140 is 416146512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2156416098 and 2156416107.

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, 106684 + ... + 125276.

It is an arithmetic number, because the mean of its divisors is an integer number (125862786).

Almost surely, 22156416140 is an apocalyptic number.

2156416140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2156416140 is an abundant number, since it is smaller than the sum of its proper divisors (3884997588).

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

2156416140 is a wasteful number, since it uses less digits than its factorization.

2156416140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20538 (or 20536 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2156416140 is about 46437.2279534427. The cubic root of 2156416140 is about 1291.9454930406.

The spelling of 2156416140 in words is "two billion, one hundred fifty-six million, four hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1933 3866 5799 7732 9665 11598 18593 19330 23196 28995 37186 38660 55779 57990 74372 92965 111558 115980 185930 223116 278895 371860 557790 1115580 35940269 71880538 107820807 143761076 179701345 215641614 359402690 431283228 539104035 718805380 1078208070 2156416140