Search a number
-
+
1055613020 = 2257111943839
BaseRepresentation
bin111110111010110…
…110000001011100
32201120022200211112
4332322312001130
54130214104040
6252425241152
735105363660
oct7672660134
92646280745
101055613020
114a1958760
122556331b8
1313a90c3b7
14a02a68a0
1562a19365
hex3eeb605c

1055613020 has 192 divisors, whose sum is σ = 2980454400. Its totient is φ = 304093440.

The previous prime is 1055612993. The next prime is 1055613061. The reversal of 1055613020 is 203165501.

It is a super-2 number, since 2×10556130202 = 2228637695987040800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257761 + ... + 1258599.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 21055613020 is an apocalyptic number.

1055613020 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 1055613020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

1055613020 is an abundant number, since it is smaller than the sum of its proper divisors (1924841380).

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

1055613020 is a wasteful number, since it uses less digits than its factorization.

1055613020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1055613020 is about 32490.1988298010. The cubic root of 1055613020 is about 1018.2042670578.

Adding to 1055613020 its reverse (203165501), we get a palindrome (1258778521).

The spelling of 1055613020 in words is "one billion, fifty-five million, six hundred thirteen thousand, twenty".