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1158314040 = 23335131723211
BaseRepresentation
bin100010100001010…
…0111100000111000
32222201120110011000
41011002213200320
54333012022130
6310534405000
740463335602
oct10502474070
92881513130
101158314040
11544924534
12283b00760
13155c8a430
14adb9c172
156ba54260
hex450a7838

1158314040 has 512 divisors, whose sum is σ = 4615833600. Its totient is φ = 255467520.

The previous prime is 1158314029. The next prime is 1158314051. The reversal of 1158314040 is 404138511.

It is a happy number.

1158314040 is a `hidden beast` number, since 1 + 1 + 583 + 1 + 40 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1158314029) and next prime (1158314051).

It is a super-2 number, since 2×11583140402 = 2683382830522243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1158313995 and 1158314013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5489535 + ... + 5489745.

It is an arithmetic number, because the mean of its divisors is an integer number (9015300).

Almost surely, 21158314040 is an apocalyptic number.

1158314040 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 1158314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307916800).

1158314040 is an abundant number, since it is smaller than the sum of its proper divisors (3457519560).

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

1158314040 is a wasteful number, since it uses less digits than its factorization.

1158314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1158314040 is about 34034.0129870105. The cubic root of 1158314040 is about 1050.2082852110.

The spelling of 1158314040 in words is "one billion, one hundred fifty-eight million, three hundred fourteen thousand, forty".