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3132090 = 2325132677
BaseRepresentation
bin1011111100101010111010
312220010102100
423330222322
51300211330
6151044230
735423313
oct13745272
95803370
103132090
11184a205
121070676
13858810
145b760a
1541d060
hex2fcaba

3132090 has 48 divisors (see below), whose sum is σ = 8773128. Its totient is φ = 770688.

The previous prime is 3132083. The next prime is 3132119. The reversal of 3132090 is 902313.

It can be written as a sum of positive squares in 4 ways, for example, as 962361 + 2169729 = 981^2 + 1473^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169 + ... + 2508.

Almost surely, 23132090 is an apocalyptic number.

3132090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386564).

3132090 is an abundant number, since it is smaller than the sum of its proper divisors (5641038).

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

3132090 is a wasteful number, since it uses less digits than its factorization.

3132090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3132090 is about 1769.7711716490. The cubic root of 3132090 is about 146.3113702553.

The spelling of 3132090 in words is "three million, one hundred thirty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2677 5354 8031 13385 16062 24093 26770 34801 40155 48186 69602 80310 104403 120465 174005 208806 240930 313209 348010 522015 626418 1044030 1566045 3132090