Search a number
-
+
2327385680 = 245177124103
BaseRepresentation
bin1000101010111001…
…0001011001010000
320000012101102221122
42022232101121100
514231302320210
61022535541412
7111450310664
oct21256213120
96005342848
102327385680
11a94826344
1254b52a868
132b12431b9
1418115a8a4
15d94d0b55
hex8ab91650

2327385680 has 80 divisors (see below), whose sum is σ = 5810413824. Its totient is φ = 863815680.

The previous prime is 2327385679. The next prime is 2327385721. The reversal of 2327385680 is 865837232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84509 + ... + 108611.

Almost surely, 22327385680 is an apocalyptic number.

2327385680 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 2327385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905206912).

2327385680 is an abundant number, since it is smaller than the sum of its proper divisors (3483028144).

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

2327385680 is a wasteful number, since it uses less digits than its factorization.

2327385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24204 (or 24198 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 2327385680 is about 48242.9858114110. The cubic root of 2327385680 is about 1325.2244888416.

The spelling of 2327385680 in words is "two billion, three hundred twenty-seven million, three hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 272 284 340 355 568 680 710 1136 1207 1360 1420 2414 2840 4828 5680 6035 9656 12070 19312 24103 24140 48206 48280 96412 96560 120515 192824 241030 385648 409751 482060 819502 964120 1639004 1711313 1928240 2048755 3278008 3422626 4097510 6556016 6845252 8195020 8556565 13690504 16390040 17113130 27381008 29092321 32780080 34226260 58184642 68452520 116369284 136905040 145461605 232738568 290923210 465477136 581846420 1163692840 2327385680