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32142990 = 23511257379
BaseRepresentation
bin111101010011…
…1011010001110
32020111000220010
41322213122032
531212033430
63104534050
7540132225
oct172473216
966430803
1032142990
1117164560
12a921326
136875529
1443a9cbc
152c4dcb0
hex1ea768e

32142990 has 64 divisors (see below), whose sum is σ = 84706560. Its totient is φ = 7741440.

The previous prime is 32142989. The next prime is 32143019. The reversal of 32142990 is 9924123.

It is a super-2 number, since 2×321429902 = 2066343612280200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84621 + ... + 84999.

It is an arithmetic number, because the mean of its divisors is an integer number (1323540).

Almost surely, 232142990 is an apocalyptic number.

32142990 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 32142990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42353280).

32142990 is an abundant number, since it is smaller than the sum of its proper divisors (52563570).

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

32142990 is a wasteful number, since it uses less digits than its factorization.

32142990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 32142990 is about 5669.4788120250. The cubic root of 32142990 is about 317.9523879510.

The spelling of 32142990 in words is "thirty-two million, one hundred forty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 257 330 379 514 758 771 1137 1285 1542 1895 2274 2570 2827 3790 3855 4169 5654 5685 7710 8338 8481 11370 12507 14135 16962 20845 25014 28270 41690 42405 62535 84810 97403 125070 194806 292209 487015 584418 974030 1071433 1461045 2142866 2922090 3214299 5357165 6428598 10714330 16071495 32142990