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642455940 = 2235710631439
BaseRepresentation
bin100110010010110…
…001100110000100
31122202220010212110
4212102301212010
52303432042230
6143430021020
721630533250
oct4622614604
91582803773
10642455940
112aa716725
1215b1a7770
13a3142259
1461479260
153b6074b0
hex264b1984

642455940 has 96 divisors (see below), whose sum is σ = 2059223040. Its totient is φ = 146606976.

The previous prime is 642455923. The next prime is 642455951. The reversal of 642455940 is 49554246.

It is a happy 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, 445741 + ... + 447179.

It is an arithmetic number, because the mean of its divisors is an integer number (21450240).

Almost surely, 2642455940 is an apocalyptic number.

642455940 is a gapful number since it is divisible by the number (60) 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 642455940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029611520).

642455940 is an abundant number, since it is smaller than the sum of its proper divisors (1416767100).

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

642455940 is a wasteful number, since it uses less digits than its factorization.

642455940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 642455940 is about 25346.7145800003. The cubic root of 642455940 is about 862.8747944735.

The spelling of 642455940 in words is "six hundred forty-two million, four hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1063 1439 2126 2878 3189 4252 4317 5315 5756 6378 7195 7441 8634 10073 10630 12756 14390 14882 15945 17268 20146 21260 21585 22323 28780 29764 30219 31890 37205 40292 43170 44646 50365 60438 63780 74410 86340 89292 100730 111615 120876 148820 151095 201460 223230 302190 446460 604380 1529657 3059314 4588971 6118628 7648285 9177942 10707599 15296570 18355884 21415198 22944855 30593140 32122797 42830396 45889710 53537995 64245594 91779420 107075990 128491188 160613985 214151980 321227970 642455940