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263463680 = 285375563
BaseRepresentation
bin11111011010000…
…10001100000000
3200100202100020002
433231002030000
51014421314210
642050535132
76346255454
oct1755021400
9610670202
10263463680
1112579a187
12742974a8
134277798c
1426dc2664
15181e34a5
hexfb42300

263463680 has 72 divisors (see below), whose sum is σ = 648250512. Its totient is φ = 102518784.

The previous prime is 263463677. The next prime is 263463703. The reversal of 263463680 is 86364362.

It is a super-2 number, since 2×2634636802 = 138826221358284800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 44579 + ... + 50141.

Almost surely, 2263463680 is an apocalyptic number.

263463680 is a gapful number since it is divisible by the number (20) 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 263463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324125256).

263463680 is an abundant number, since it is smaller than the sum of its proper divisors (384786832).

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

263463680 is an equidigital number, since it uses as much as digits as its factorization.

263463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 263463680 is about 16231.5643115505. The cubic root of 263463680 is about 641.0721611903.

The spelling of 263463680 in words is "two hundred sixty-three million, four hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 4736 5563 5920 9472 11126 11840 22252 23680 27815 44504 47360 55630 89008 111260 178016 205831 222520 356032 411662 445040 712064 823324 890080 1029155 1424128 1646648 1780160 2058310 3293296 3560320 4116620 6586592 7120640 8233240 13173184 16466480 26346368 32932960 52692736 65865920 131731840 263463680