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180037940 = 2259001897
BaseRepresentation
bin10101011101100…
…10100100110100
3110112202212121212
422232302210310
5332042203230
625510500552
74314203645
oct1256624464
9415685555
10180037940
1192699195
1250364758
132b3b8234
1419ca76cc
1510c14895
hexabb2934

180037940 has 12 divisors (see below), whose sum is σ = 378079716. Its totient is φ = 72015168.

The previous prime is 180037909. The next prime is 180037999. The reversal of 180037940 is 49730081.

180037940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37283236 + 142754704 = 6106^2 + 11948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180037897 and 180037906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4500929 + ... + 4500968.

It is an arithmetic number, because the mean of its divisors is an integer number (31506643).

Almost surely, 2180037940 is an apocalyptic number.

180037940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180037940 is an abundant number, since it is smaller than the sum of its proper divisors (198041776).

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

180037940 is a wasteful number, since it uses less digits than its factorization.

180037940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001906 (or 9001904 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 180037940 is about 13417.8217308176. The cubic root of 180037940 is about 564.6612844384.

The spelling of 180037940 in words is "one hundred eighty million, thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 9001897 18003794 36007588 45009485 90018970 180037940