Search a number
-
+
23953920 = 29353119
BaseRepresentation
bin101101101100…
…0001000000000
31200001222121020
41123120020000
522113011140
62213225440
7410414334
oct133301000
950058536
1023953920
1112580a31
128032280
134c69023
1432777c4
1521826d0
hex16d8200

23953920 has 80 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 6385664.

The previous prime is 23953873. The next prime is 23953921. The reversal of 23953920 is 2935932.

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

It is not an unprimeable number, because it can be changed into a prime (23953921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6121 + ... + 9239.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 223953920 is an apocalyptic number.

23953920 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 23953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

23953920 is an abundant number, since it is smaller than the sum of its proper divisors (52648320).

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

23953920 is an equidigital number, since it uses as much as digits as its factorization.

23953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 23953920 is about 4894.2742056407. The cubic root of 23953920 is about 288.2651878412.

The spelling of 23953920 in words is "twenty-three million, nine hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3119 3840 6238 7680 9357 12476 15595 18714 24952 31190 37428 46785 49904 62380 74856 93570 99808 124760 149712 187140 199616 249520 299424 374280 399232 499040 598848 748560 798464 998080 1197696 1497120 1596928 1996160 2395392 2994240 3992320 4790784 5988480 7984640 11976960 23953920