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1089372240 = 2434511172931
BaseRepresentation
bin100000011101110…
…1000000001010000
32210220211211210000
41000323220001100
54212334402430
6300033010000
735665340235
oct10073500120
92726754700
101089372240
11509a16540
122649b3900
131448cc478
14a497378c
1565986e60
hex40ee8050

1089372240 has 800 divisors, whose sum is σ = 4666844160. Its totient is φ = 232243200.

The previous prime is 1089372233. The next prime is 1089372247. The reversal of 1089372240 is 422739801.

It is an interprime number because it is at equal distance from previous prime (1089372233) and next prime (1089372247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1089372195 and 1089372204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089372247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35141025 + ... + 35141055.

Almost surely, 21089372240 is an apocalyptic number.

1089372240 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 1089372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333422080).

1089372240 is an abundant number, since it is smaller than the sum of its proper divisors (3577471920).

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

1089372240 is a wasteful number, since it uses less digits than its factorization.

1089372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1089372240 is about 33005.6395181187. The cubic root of 1089372240 is about 1028.9448584549.

The spelling of 1089372240 in words is "one billion, eighty-nine million, three hundred seventy-two thousand, two hundred forty".