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1119099240 = 23345731953
BaseRepresentation
bin100001010110100…
…0001100101101000
32212222210010120000
41002231001211220
54242442133430
6303014103000
736506121000
oct10255014550
92788703500
101119099240
1152477a906
1227294aa60
1314ab0a0cc
14a88b1000
15683a9e60
hex42b41968

1119099240 has 640 divisors, whose sum is σ = 4704480000. Its totient is φ = 237758976.

The previous prime is 1119099169. The next prime is 1119099251. The reversal of 1119099240 is 429909111.

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 = 1119099195 and 1119099204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21115054 + ... + 21115106.

It is an arithmetic number, because the mean of its divisors is an integer number (7350750).

Almost surely, 21119099240 is an apocalyptic number.

1119099240 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 1119099240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352240000).

1119099240 is an abundant number, since it is smaller than the sum of its proper divisors (3585380760).

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

1119099240 is a wasteful number, since it uses less digits than its factorization.

1119099240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1119099240 is about 33452.9406779135. The cubic root of 1119099240 is about 1038.2203414759.

The spelling of 1119099240 in words is "one billion, one hundred nineteen million, ninety-nine thousand, two hundred forty".