Search a number
-
+
642279360 = 26353671823
BaseRepresentation
bin100110010010000…
…110011111000000
31122202120011122110
4212102012133000
52303410414420
6143422135320
721626166402
oct4622063700
91582504573
10642279360
112aa605a98
1215b121540
13a30aca78
1461430b72
153b5beee0
hex264867c0

642279360 has 112 divisors (see below), whose sum is σ = 2045915136. Its totient is φ = 170714112.

The previous prime is 642279349. The next prime is 642279371. The reversal of 642279360 is 63972246.

It is an interprime number because it is at equal distance from previous prime (642279349) and next prime (642279371).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351409 + ... + 353231.

Almost surely, 2642279360 is an apocalyptic number.

642279360 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 642279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022957568).

642279360 is an abundant number, since it is smaller than the sum of its proper divisors (1403635776).

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

642279360 is a wasteful number, since it uses less digits than its factorization.

642279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 642279360 is about 25343.2310489409. The cubic root of 642279360 is about 862.7957330763.

The spelling of 642279360 in words is "six hundred forty-two million, two hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 367 480 734 960 1101 1468 1823 1835 2202 2936 3646 3670 4404 5469 5505 5872 7292 7340 8808 9115 10938 11010 11744 14584 14680 17616 18230 21876 22020 23488 27345 29168 29360 35232 36460 43752 44040 54690 58336 58720 70464 72920 87504 88080 109380 116672 117440 145840 175008 176160 218760 291680 350016 352320 437520 583360 669041 875040 1338082 1750080 2007123 2676164 3345205 4014246 5352328 6690410 8028492 10035615 10704656 13380820 16056984 20071230 21409312 26761640 32113968 40142460 42818624 53523280 64227936 80284920 107046560 128455872 160569840 214093120 321139680 642279360