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1642370080 = 255133125471
BaseRepresentation
bin110000111100100…
…1001010000100000
311020110102001012111
41201321021100200
511330421320310
6430545405104
755461625651
oct14171112040
94213361174
101642370080
11773090a4a
1239a039794
1320234c320
141181a3528
15992bd28a
hex61e49420

1642370080 has 96 divisors (see below), whose sum is σ = 4313530368. Its totient is φ = 586828800.

The previous prime is 1642370077. The next prime is 1642370099. The reversal of 1642370080 is 800732461.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51745 + ... + 77215.

It is an arithmetic number, because the mean of its divisors is an integer number (44932608).

Almost surely, 21642370080 is an apocalyptic number.

1642370080 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 1642370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156765184).

1642370080 is an abundant number, since it is smaller than the sum of its proper divisors (2671160288).

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

1642370080 is a wasteful number, since it uses less digits than its factorization.

1642370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25530 (or 25522 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1642370080 is about 40526.1653749772. The cubic root of 1642370080 is about 1179.8415185033.

The spelling of 1642370080 in words is "one billion, six hundred forty-two million, three hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2480 3224 4030 4960 6448 8060 12896 16120 25471 32240 50942 64480 101884 127355 203768 254710 331123 407536 509420 662246 789601 815072 1018840 1324492 1579202 1655615 2037680 2648984 3158404 3311230 3948005 4075360 5297968 6316808 6622460 7896010 10264813 10595936 12633616 13244920 15792020 20529626 25267232 26489840 31584040 41059252 51324065 52979680 63168080 82118504 102648130 126336160 164237008 205296260 328474016 410592520 821185040 1642370080