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180140040 = 23325500389
BaseRepresentation
bin10101011110010…
…11100000001000
3110112222001200100
422233023200020
5332103440130
625513005400
74315110423
oct1257134010
9415861610
10180140040
1192758973
12503b3860
132b422852
1419cd29ba
1510c34c60
hexabcb808

180140040 has 48 divisors (see below), whose sum is σ = 585456300. Its totient is φ = 48037248.

The previous prime is 180140021. The next prime is 180140047. The reversal of 180140040 is 40041081.

It can be written as a sum of positive squares in 2 ways, for example, as 169989444 + 10150596 = 13038^2 + 3186^2 .

It is a super-2 number, since 2×1801400402 = 64900868022403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 180139995 and 180140022.

It is not an unprimeable number, because it can be changed into a prime (180140047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249835 + ... + 250554.

Almost surely, 2180140040 is an apocalyptic number.

180140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180140040 is an abundant number, since it is smaller than the sum of its proper divisors (405316260).

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

180140040 is a wasteful number, since it uses less digits than its factorization.

180140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500406 (or 500399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 180140040 is about 13421.6258329608. The cubic root of 180140040 is about 564.7680045782.

The spelling of 180140040 in words is "one hundred eighty million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 500389 1000778 1501167 2001556 2501945 3002334 4003112 4503501 5003890 6004668 7505835 9007002 10007780 12009336 15011670 18014004 20015560 22517505 30023340 36028008 45035010 60046680 90070020 180140040