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1040224680 = 23375112347
BaseRepresentation
bin111110000000001…
…001000110101000
32200111100220000000
4332000021012220
54112244142210
6251115343000
734530523005
oct7600110650
92614326000
101040224680
114941a8220
12250451a60
13137682081
149c21c8ac
15614c9ac0
hex3e0091a8

1040224680 has 512 divisors, whose sum is σ = 4080844800. Its totient is φ = 236079360.

The previous prime is 1040224667. The next prime is 1040224687. The reversal of 1040224680 is 864220401.

1040224680 = 3902 + 3912 + ... + 14702.

1040224680 is a `hidden beast` number, since 10 + 402 + 246 + 8 + 0 = 666.

It is a super-2 number, since 2×10402246802 = 2164134769762204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040224687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22132417 + ... + 22132463.

It is an arithmetic number, because the mean of its divisors is an integer number (7970400).

Almost surely, 21040224680 is an apocalyptic number.

1040224680 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 1040224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040422400).

1040224680 is an abundant number, since it is smaller than the sum of its proper divisors (3040620120).

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

1040224680 is a wasteful number, since it uses less digits than its factorization.

1040224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1040224680 is about 32252.5143205921. The cubic root of 1040224680 is about 1013.2323590330.

The spelling of 1040224680 in words is "one billion, forty million, two hundred twenty-four thousand, six hundred eighty".