Search a number
-
+
23439120 = 2435127769
BaseRepresentation
bin101100101101…
…0011100010000
31122002211102120
41121122130100
522000022440
62154214240
7403141425
oct131323420
948084376
1023439120
111225a181
127a24380
134b18903
143181d4c
1520cedd0
hex165a710

23439120 has 80 divisors (see below), whose sum is σ = 73328640. Its totient is φ = 6193152.

The previous prime is 23439109. The next prime is 23439149. The reversal of 23439120 is 2193432.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 30096 + ... + 30864.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 223439120 is an apocalyptic number.

23439120 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 23439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36664320).

23439120 is an abundant number, since it is smaller than the sum of its proper divisors (49889520).

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

23439120 is a wasteful number, since it uses less digits than its factorization.

23439120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23439120 is about 4841.3964927488. The cubic root of 23439120 is about 286.1851540405.

The spelling of 23439120 in words is "twenty-three million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 769 1016 1270 1524 1538 1905 2032 2307 2540 3048 3076 3810 3845 4614 5080 6096 6152 7620 7690 9228 10160 11535 12304 15240 15380 18456 23070 30480 30760 36912 46140 61520 92280 97663 184560 195326 292989 390652 488315 585978 781304 976630 1171956 1464945 1562608 1953260 2343912 2929890 3906520 4687824 5859780 7813040 11719560 23439120