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1056495640 = 23553607821
BaseRepresentation
bin111110111110001…
…101100000011000
32201121222112120011
4332332031200120
54130430330030
6252500211304
735116031134
oct7676154030
92647875504
101056495640
114a24008a2
12255999b34
1313ab5b065
14a04563c4
1562b40b2a
hex3ef8d818

1056495640 has 64 divisors (see below), whose sum is σ = 2428911360. Its totient is φ = 413437440.

The previous prime is 1056495631. The next prime is 1056495683. The reversal of 1056495640 is 465946501.

It is a happy number.

It is a super-2 number, since 2×10564956402 = 2232366074678019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1056495593 and 1056495602.

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, 1286430 + ... + 1287250.

It is an arithmetic number, because the mean of its divisors is an integer number (37951740).

Almost surely, 21056495640 is an apocalyptic number.

1056495640 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 1056495640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214455680).

1056495640 is an abundant number, since it is smaller than the sum of its proper divisors (1372415720).

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

1056495640 is a wasteful number, since it uses less digits than its factorization.

1056495640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 1056495640 is about 32503.7788572344. The cubic root of 1056495640 is about 1018.4879685908.

The spelling of 1056495640 in words is "one billion, fifty-six million, four hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 607 821 1060 1214 1642 2120 2428 3035 3284 4105 4856 6070 6568 8210 12140 16420 24280 32171 32840 43513 64342 87026 128684 160855 174052 217565 257368 321710 348104 435130 498347 643420 870260 996694 1286840 1740520 1993388 2491735 3986776 4983470 9966940 19933880 26412391 52824782 105649564 132061955 211299128 264123910 528247820 1056495640