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23642112 = 21431337
BaseRepresentation
bin101101000110…
…0000000000000
31122111010212210
41122030000000
522023021422
62202422120
7404645304
oct132140000
948433783
1023642112
111238873a
127b01940
134b8a120
1431d5d04
15212010c
hex168c000

23642112 has 120 divisors (see below), whose sum is σ = 69728176. Its totient is φ = 7077888.

The previous prime is 23642107. The next prime is 23642123. The reversal of 23642112 is 21124632.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638958 + ... + 638994.

Almost surely, 223642112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34864088).

23642112 is an abundant number, since it is smaller than the sum of its proper divisors (46086064).

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

23642112 is an equidigital number, since it uses as much as digits as its factorization.

23642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 23642112 is about 4862.3154977850. The cubic root of 23642112 is about 287.0089391689.

Adding to 23642112 its reverse (21124632), we get a palindrome (44766744).

The spelling of 23642112 in words is "twenty-three million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 592 624 768 832 888 962 1024 1184 1248 1443 1536 1664 1776 1924 2048 2368 2496 2886 3072 3328 3552 3848 4096 4736 4992 5772 6144 6656 7104 7696 8192 9472 9984 11544 12288 13312 14208 15392 16384 18944 19968 23088 24576 26624 28416 30784 37888 39936 46176 49152 53248 56832 61568 75776 79872 92352 106496 113664 123136 151552 159744 184704 212992 227328 246272 303104 319488 369408 454656 492544 606208 638976 738816 909312 985088 1477632 1818624 1970176 2955264 3940352 5910528 7880704 11821056 23642112