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1060413900 = 22352721331179
BaseRepresentation
bin111111001101001…
…010000111001100
32201220100121101220
4333031022013030
54132431221100
6253120203340
735164240500
oct7715120714
92656317356
101060413900
114a4637727
12257169550
1313b900660
14a0b96300
1563166aa0
hex3f34a1cc

1060413900 has 432 divisors, whose sum is σ = 3989744640. Its totient is φ = 215308800.

The previous prime is 1060413899. The next prime is 1060413911. The reversal of 1060413900 is 93140601.

It is a super-2 number, since 2×10604139002 = 2248955278626420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5924011 + ... + 5924189.

It is an arithmetic number, because the mean of its divisors is an integer number (9235520).

Almost surely, 21060413900 is an apocalyptic number.

1060413900 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 1060413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1060413900 is an abundant number, since it is smaller than the sum of its proper divisors (2929330740).

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

1060413900 is a wasteful number, since it uses less digits than its factorization.

1060413900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1060413900 is about 32563.9969905416. The cubic root of 1060413900 is about 1019.7455151362.

The spelling of 1060413900 in words is "one billion, sixty million, four hundred thirteen thousand, nine hundred".