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2156760540 = 22335111911901
BaseRepresentation
bin1000000010001101…
…1000110111011100
312120022022210021000
42000203120313130
513404112314130
6554002510300
7104306106414
oct20043306734
95508283230
102156760540
11a07487130
12502365390
13284aa248c
14166623644
15c952a260
hex808d8ddc

2156760540 has 192 divisors, whose sum is σ = 7362109440. Its totient is φ = 519840000.

The previous prime is 2156760533. The next prime is 2156760559. The reversal of 2156760540 is 450676512.

It is a happy number.

2156760540 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 7 + 605 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2156760495 and 2156760504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1133590 + ... + 1135490.

It is an arithmetic number, because the mean of its divisors is an integer number (38344320).

Almost surely, 22156760540 is an apocalyptic number.

2156760540 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 2156760540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681054720).

2156760540 is an abundant number, since it is smaller than the sum of its proper divisors (5205348900).

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

2156760540 is a wasteful number, since it uses less digits than its factorization.

2156760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2156760540 is about 46440.9360370783. The cubic root of 2156760540 is about 1292.0142680069.

The spelling of 2156760540 in words is "two billion, one hundred fifty-six million, seven hundred sixty thousand, five hundred forty".