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1055619040 = 25572343953
BaseRepresentation
bin111110111010110…
…111011111100000
32201120100000002111
4332322313133200
54130214302130
6252425325104
735105420350
oct7672673740
92646300074
101055619040
114a1962233
12255636794
1313a912068
14a02a8b60
1562a1b02a
hex3eeb77e0

1055619040 has 192 divisors, whose sum is σ = 3046450176. Its totient is φ = 337784832.

The previous prime is 1055619007. The next prime is 1055619041. The reversal of 1055619040 is 409165501.

It is a super-2 number, since 2×10556190402 = 2228663115221043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055618993 and 1055619011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055619041) 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, 1107204 + ... + 1108156.

It is an arithmetic number, because the mean of its divisors is an integer number (15866928).

Almost surely, 21055619040 is an apocalyptic number.

1055619040 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 1055619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523225088).

1055619040 is an abundant number, since it is smaller than the sum of its proper divisors (1990831136).

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

1055619040 is a wasteful number, since it uses less digits than its factorization.

1055619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1055619040 is about 32490.2914729924. The cubic root of 1055619040 is about 1018.2062026087.

The spelling of 1055619040 in words is "one billion, fifty-five million, six hundred nineteen thousand, forty".