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1089974880 = 25345312713
BaseRepresentation
bin100000011110111…
…1011001001100000
32210221222110110000
41000331323021200
54213013144010
6300053540000
736003430221
oct10075731140
92727873400
101089974880
1150a298295
12265044600
13144a80867
14a4a8d248
1565a557c0
hex40f7b260

1089974880 has 240 divisors, whose sum is σ = 3972253824. Its totient is φ = 281180160.

The previous prime is 1089974869. The next prime is 1089974903. The reversal of 1089974880 is 884799801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400404 + ... + 403116.

Almost surely, 21089974880 is an apocalyptic number.

1089974880 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 1089974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986126912).

1089974880 is an abundant number, since it is smaller than the sum of its proper divisors (2882278944).

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

1089974880 is a wasteful number, since it uses less digits than its factorization.

1089974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1089974880 is about 33014.7676048159. The cubic root of 1089974880 is about 1029.1345606824.

The spelling of 1089974880 in words is "one billion, eighty-nine million, nine hundred seventy-four thousand, eight hundred eighty".