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2300593872 = 2431913718413
BaseRepresentation
bin1000100100100000…
…0100011011010000
312221022222021111110
42021020010123100
514202423000442
61020141413320
7111003503523
oct21110043320
95838867443
102300593872
11a80697255
1254256a240
132a8822565
1417b784bba
15d6e8c69c
hex892046d0

2300593872 has 80 divisors (see below), whose sum is σ = 6302007360. Its totient is φ = 721161216.

The previous prime is 2300593859. The next prime is 2300593877. The reversal of 2300593872 is 2783950032.

It is a self number, because there is not a number n which added to its sum of digits gives 2300593872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300593877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115738 + ... + 134150.

It is an arithmetic number, because the mean of its divisors is an integer number (78775092).

Almost surely, 22300593872 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 2300593872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151003680).

2300593872 is an abundant number, since it is smaller than the sum of its proper divisors (4001413488).

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

2300593872 is a wasteful number, since it uses less digits than its factorization.

2300593872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18580 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2300593872 is about 47964.5063771118. The cubic root of 2300593872 is about 1320.1197228416.

The spelling of 2300593872 in words is "two billion, three hundred million, five hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 411 456 548 822 912 1096 1644 2192 2603 3288 5206 6576 7809 10412 15618 18413 20824 31236 36826 41648 55239 62472 73652 110478 124944 147304 220956 294608 349847 441912 699694 883824 1049541 1399388 2099082 2522581 2798776 4198164 5045162 5597552 7567743 8396328 10090324 15135486 16792656 20180648 30270972 40361296 47929039 60541944 95858078 121083888 143787117 191716156 287574234 383432312 575148468 766864624 1150296936 2300593872