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1140733440 = 29325711643
BaseRepresentation
bin100001111111110…
…0011011000000000
32221111111021002200
41003333203120000
54314011432230
6305105513200
740161034320
oct10377433000
92844437080
101140733440
11535a06a10
1227a042800
13152443302
14ab703280
156a230160
hex43fe3600

1140733440 has 480 divisors, whose sum is σ = 4933184256. Its totient is φ = 236666880.

The previous prime is 1140733427. The next prime is 1140733493. The reversal of 1140733440 is 443370411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11407334402 = 2602545562268467200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773759 + ... + 1774401.

Almost surely, 21140733440 is an apocalyptic number.

1140733440 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 1140733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466592128).

1140733440 is an abundant number, since it is smaller than the sum of its proper divisors (3792450816).

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

1140733440 is a wasteful number, since it uses less digits than its factorization.

1140733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1140733440 is about 33774.7455948968. The cubic root of 1140733440 is about 1044.8679090994.

The spelling of 1140733440 in words is "one billion, one hundred forty million, seven hundred thirty-three thousand, four hundred forty".