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1056213400 = 2352111731911
BaseRepresentation
bin111110111101001…
…000100110011000
32201121110012101211
4332331020212120
54130342312100
6252450152504
735113444234
oct7675104630
92647405354
101056213400
114a2228840
12255882734
1313aa8c758
14a03c15c4
1562ad71ba
hex3ef48998

1056213400 has 192 divisors, whose sum is σ = 2931240960. Its totient is φ = 349440000.

The previous prime is 1056213391. The next prime is 1056213427. The reversal of 1056213400 is 43126501.

It is a super-2 number, since 2×10562134002 = 2231173492679120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158945 + ... + 1159855.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880).

Almost surely, 21056213400 is an apocalyptic number.

1056213400 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 1056213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

1056213400 is an abundant number, since it is smaller than the sum of its proper divisors (1875027560).

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

1056213400 is a wasteful number, since it uses less digits than its factorization.

1056213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1056213400 is about 32499.4369181991. The cubic root of 1056213400 is about 1018.3972650627.

Adding to 1056213400 its reverse (43126501), we get a palindrome (1099339901).

The spelling of 1056213400 in words is "one billion, fifty-six million, two hundred thirteen thousand, four hundred".