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23788072 = 2371123273
BaseRepresentation
bin101101010111…
…1101000101000
31122202120002201
41122233220220
522042204242
62205505544
7406123660
oct132575050
948676081
1023788072
1112478370
127b722b4
134c0b6a9
1432331a0
15214d4b7
hex16afa28

23788072 has 96 divisors (see below), whose sum is σ = 58927680. Its totient is φ = 8743680.

The previous prime is 23788031. The next prime is 23788081. The reversal of 23788072 is 27088732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325828 + ... + 325900.

It is an arithmetic number, because the mean of its divisors is an integer number (613830).

Almost surely, 223788072 is an apocalyptic number.

23788072 is a gapful number since it is divisible by the number (22) 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 23788072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29463840).

23788072 is an abundant number, since it is smaller than the sum of its proper divisors (35139608).

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

23788072 is a wasteful number, since it uses less digits than its factorization.

23788072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 23788072 is about 4877.3017130377. The cubic root of 23788072 is about 287.5983663407.

The spelling of 23788072 in words is "twenty-three million, seven hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 73 77 88 92 146 154 161 184 253 292 308 322 506 511 529 584 616 644 803 1012 1022 1058 1288 1606 1679 1771 2024 2044 2116 3212 3358 3542 3703 4088 4232 5621 5819 6424 6716 7084 7406 11242 11638 11753 13432 14168 14812 18469 22484 23276 23506 29624 36938 38617 40733 44968 46552 47012 73876 77234 81466 94024 129283 147752 154468 162932 258566 270319 308936 325864 424787 517132 540638 849574 1034264 1081276 1699148 2162552 2973509 3398296 5947018 11894036 23788072