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2723674080 = 253539714293
BaseRepresentation
bin1010001001010111…
…1111011111100000
321000211001222102210
42202111333133200
521034230032310
61130133442120
7124331563521
oct24225773740
97024058383
102723674080
111178496716
126401a0340
1334538528a
141bba36848
1510e1ae820
hexa257f7e0

2723674080 has 96 divisors (see below), whose sum is σ = 8601786144. Its totient is φ = 724432896.

The previous prime is 2723674069. The next prime is 2723674087. The reversal of 2723674080 is 804763272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723674087) 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, 183414 + ... + 197706.

It is an arithmetic number, because the mean of its divisors is an integer number (89601939).

Almost surely, 22723674080 is an apocalyptic number.

2723674080 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 2723674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300893072).

2723674080 is an abundant number, since it is smaller than the sum of its proper divisors (5878112064).

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

2723674080 is a wasteful number, since it uses less digits than its factorization.

2723674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708 (or 14700 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2723674080 is about 52188.8309890153. The cubic root of 2723674080 is about 1396.5346403061.

The spelling of 2723674080 in words is "two billion, seven hundred twenty-three million, six hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 397 480 794 1191 1588 1985 2382 3176 3970 4764 5955 6352 7940 9528 11910 12704 14293 15880 19056 23820 28586 31760 38112 42879 47640 57172 63520 71465 85758 95280 114344 142930 171516 190560 214395 228688 285860 343032 428790 457376 571720 686064 857580 1143440 1372128 1715160 2286880 3430320 5674321 6860640 11348642 17022963 22697284 28371605 34045926 45394568 56743210 68091852 85114815 90789136 113486420 136183704 170229630 181578272 226972840 272367408 340459260 453945680 544734816 680918520 907891360 1361837040 2723674080