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23279940 = 22335192269
BaseRepresentation
bin101100011001…
…1100101000100
31121210202002000
41120303211010
521424424230
62150545300
7401606355
oct130634504
947722060
1023279940
1112160622
127968230
134a91318
14313dd2c
15209cb60
hex1633944

23279940 has 96 divisors (see below), whose sum is σ = 76272000. Its totient is φ = 5878656.

The previous prime is 23279939. The next prime is 23279941. The reversal of 23279940 is 4997232.

It is an interprime number because it is at equal distance from previous prime (23279939) and next prime (23279941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23279895 and 23279904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23279941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9126 + ... + 11394.

It is an arithmetic number, because the mean of its divisors is an integer number (794500).

Almost surely, 223279940 is an apocalyptic number.

23279940 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 23279940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38136000).

23279940 is an abundant number, since it is smaller than the sum of its proper divisors (52992060).

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

23279940 is a wasteful number, since it uses less digits than its factorization.

23279940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 23279940 is about 4824.9290150219. The cubic root of 23279940 is about 285.5358340419.

The spelling of 23279940 in words is "twenty-three million, two hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2269 2565 3420 4538 5130 6807 9076 10260 11345 13614 20421 22690 27228 34035 40842 43111 45380 61263 68070 81684 86222 102105 122526 129333 136140 172444 204210 215555 245052 258666 306315 387999 408420 431110 517332 612630 646665 775998 862220 1163997 1225260 1293330 1551996 1939995 2327994 2586660 3879990 4655988 5819985 7759980 11639970 23279940