Search a number
-
+
1056597696 = 26347112647
BaseRepresentation
bin111110111110100…
…110011011000000
32201122011201120000
4332332212123000
54130442111241
6252502320000
735116634520
oct7676463300
92648151500
101056597696
114a2470540
12255a29000
1313ab9564b
14a0481680
1562b60eb6
hex3efa66c0

1056597696 has 280 divisors, whose sum is σ = 3906414336. Its totient is φ = 274337280.

The previous prime is 1056597643. The next prime is 1056597721. The reversal of 1056597696 is 6967956501.

1056597696 is a `hidden beast` number, since 1 + 0 + 565 + 9 + 76 + 9 + 6 = 666.

It is a super-2 number, since 2×10565976962 = 2232797382385016832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397845 + ... + 400491.

Almost surely, 21056597696 is an apocalyptic number.

1056597696 is a gapful number since it is divisible by the number (16) 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 1056597696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953207168).

1056597696 is an abundant number, since it is smaller than the sum of its proper divisors (2849816640).

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

1056597696 is a wasteful number, since it uses less digits than its factorization.

1056597696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 1056597696 is about 32505.3487290938. The cubic root of 1056597696 is about 1018.5207623723.

The spelling of 1056597696 in words is "one billion, fifty-six million, five hundred ninety-seven thousand, six hundred ninety-six".