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1055197440 = 28325112757
BaseRepresentation
bin111110111001010…
…000100100000000
32201112112120202200
4332321100210000
54130112304230
6252412313200
735102013243
oct7671204400
92645476680
101055197440
114a16a4500
12255472800
1313a7c51ab
14a01d925a
1562986160
hex3ee50900

1055197440 has 324 divisors, whose sum is σ = 4018244412. Its totient is φ = 255467520.

The previous prime is 1055197397. The next prime is 1055197441. The reversal of 1055197440 is 447915501.

1055197440 is a `hidden beast` number, since 10 + 551 + 97 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 515471616 + 539725824 = 22704^2 + 23232^2 .

It is a super-2 number, since 2×10551974402 = 2226883274765107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1055197395 and 1055197404.

It is not an unprimeable number, because it can be changed into a prime (1055197441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393542 + ... + 1394298.

Almost surely, 21055197440 is an apocalyptic number.

1055197440 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 1055197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009122206).

1055197440 is an abundant number, since it is smaller than the sum of its proper divisors (2963046972).

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

1055197440 is a wasteful number, since it uses less digits than its factorization.

1055197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1055197440 is about 32483.8027330545. The cubic root of 1055197440 is about 1018.0706319528.

The spelling of 1055197440 in words is "one billion, fifty-five million, one hundred ninety-seven thousand, four hundred forty".