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1182029940 = 223257213361
BaseRepresentation
bin100011001110100…
…0101100001110100
310001101012100020200
41012131011201310
54410044424230
6313143000500
741202042300
oct10635054164
93041170220
101182029940
11557252653
1228ba39130
1315ab72000
14b2db2d00
156db8b160
hex46745874

1182029940 has 432 divisors, whose sum is σ = 4592362320. Its totient is φ = 245306880.

The previous prime is 1182029929. The next prime is 1182029971. The reversal of 1182029940 is 499202811.

It can be written as a sum of positive squares in 8 ways, for example, as 1126139364 + 55890576 = 33558^2 + 7476^2 .

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 = 1182029895 and 1182029904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19377510 + ... + 19377570.

Almost surely, 21182029940 is an apocalyptic number.

1182029940 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 1182029940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296181160).

1182029940 is an abundant number, since it is smaller than the sum of its proper divisors (3410332380).

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

1182029940 is a wasteful number, since it uses less digits than its factorization.

1182029940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1182029940 is about 34380.6622972857. The cubic root of 1182029940 is about 1057.3274134459.

The spelling of 1182029940 in words is "one billion, one hundred eighty-two million, twenty-nine thousand, nine hundred forty".