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1363023872 = 2117313067
BaseRepresentation
bin101000100111110…
…0001100000000000
310111222202210020122
41101033201200000
510242413230442
6343130155412
745530340350
oct12117414000
93458683218
101363023872
1163a434011
12320582b68
13189503402
14cd048b60
157e9dddd2
hex513e1800

1363023872 has 96 divisors (see below), whose sum is σ = 3216245760. Its totient is φ = 565125120.

The previous prime is 1363023863. The next prime is 1363023889. The reversal of 1363023872 is 2783203631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442883 + ... + 445949.

It is an arithmetic number, because the mean of its divisors is an integer number (33502560).

Almost surely, 21363023872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608122880).

1363023872 is an abundant number, since it is smaller than the sum of its proper divisors (1853221888).

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

1363023872 is an equidigital number, since it uses as much as digits as its factorization.

1363023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 1363023872 is about 36919.1531863882. The cubic root of 1363023872 is about 1108.7521816314.

The spelling of 1363023872 in words is "one billion, three hundred sixty-three million, twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3067 3472 3584 3968 6134 6944 7168 7936 12268 13888 14336 15872 21469 24536 27776 31744 42938 49072 55552 63488 85876 95077 98144 111104 171752 190154 196288 222208 343504 380308 392576 444416 665539 687008 760616 785152 1331078 1374016 1521232 1570304 2662156 2748032 3042464 3140608 5324312 5496064 6084928 6281216 10648624 10992128 12169856 21297248 21984256 24339712 42594496 43968512 48679424 85188992 97358848 170377984 194717696 340755968 681511936 1363023872