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1077225696 = 253331371087
BaseRepresentation
bin100000000110101…
…0010100011100000
32210001222201212000
41000031102203200
54201232210241
6254520404000
735460160461
oct10015224340
92701881760
101077225696
1150307a678
12260916600
13142238871
14a30d0d68
1564887eb6
hex403528e0

1077225696 has 192 divisors, whose sum is σ = 3333980160. Its totient is φ = 337789440.

The previous prime is 1077225683. The next prime is 1077225697. The reversal of 1077225696 is 6965227701.

1077225696 is a `hidden beast` number, since 10 + 7 + 72 + 2 + 569 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077225697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990465 + ... + 991551.

It is an arithmetic number, because the mean of its divisors is an integer number (17364480).

Almost surely, 21077225696 is an apocalyptic number.

1077225696 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 1077225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666990080).

1077225696 is an abundant number, since it is smaller than the sum of its proper divisors (2256754464).

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

1077225696 is a wasteful number, since it uses less digits than its factorization.

1077225696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1077225696 is about 32821.1166172024. The cubic root of 1077225696 is about 1025.1062974432.

The spelling of 1077225696 in words is "one billion, seventy-seven million, two hundred twenty-five thousand, six hundred ninety-six".