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1077223056 = 2437413719
BaseRepresentation
bin100000000110101…
…0001111010010000
32210001222121020020
41000031101322100
54201232114211
6254520343440
735460150000
oct10015217220
92701877206
101077223056
11503078698
12260914b80
131422375c0
14a30d0000
1564887306
hex40351e90

1077223056 has 200 divisors, whose sum is σ = 3501025920. Its totient is φ = 283707648.

The previous prime is 1077223027. The next prime is 1077223073. The reversal of 1077223056 is 6503227701.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1497865 + ... + 1498583.

Almost surely, 21077223056 is an apocalyptic number.

1077223056 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 1077223056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750512960).

1077223056 is an abundant number, since it is smaller than the sum of its proper divisors (2423802864).

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

1077223056 is an equidigital number, since it uses as much as digits as its factorization.

1077223056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 1077223056 is about 32821.0763991677. The cubic root of 1077223056 is about 1025.1054600196.

The spelling of 1077223056 in words is "one billion, seventy-seven million, two hundred twenty-three thousand, fifty-six".