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1432642020 = 2235176732087
BaseRepresentation
bin101010101100100…
…0110000111100100
310200211202202101120
41111121012013210
510413224021040
6354054253540
750334153615
oct12531060744
93624682346
101432642020
11675764177
1233b9572b0
1319aa6a194
14d83abc0c
1585b917d0
hex556461e4

1432642020 has 96 divisors (see below), whose sum is σ = 4255711488. Its totient is φ = 358858752.

The previous prime is 1432642019. The next prime is 1432642031. The reversal of 1432642020 is 202462341.

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, 685417 + ... + 687503.

It is an arithmetic number, because the mean of its divisors is an integer number (44330328).

Almost surely, 21432642020 is an apocalyptic number.

1432642020 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 1432642020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127855744).

1432642020 is an abundant number, since it is smaller than the sum of its proper divisors (2823069468).

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

1432642020 is a wasteful number, since it uses less digits than its factorization.

1432642020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1432642020 is about 37850.2578590952. The cubic root of 1432642020 is about 1127.3165815208.

The spelling of 1432642020 in words is "one billion, four hundred thirty-two million, six hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 673 1020 1346 2019 2087 2692 3365 4038 4174 6261 6730 8076 8348 10095 10435 11441 12522 13460 20190 20870 22882 25044 31305 34323 35479 40380 41740 45764 57205 62610 68646 70958 106437 114410 125220 137292 141916 171615 177395 212874 228820 343230 354790 425748 532185 686460 709580 1064370 1404551 2128740 2809102 4213653 5618204 7022755 8427306 14045510 16854612 21068265 23877367 28091020 42136530 47754734 71632101 84273060 95509468 119386835 143264202 238773670 286528404 358160505 477547340 716321010 1432642020