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23715072 = 28334773
BaseRepresentation
bin101101001110…
…1110100000000
31122121211222000
41122131310000
522032340242
62204144000
7405401103
oct132356400
948554860
1023715072
1112428537
127b38000
134bb43b4
14321473a
152136a4c
hex169dd00

23715072 has 144 divisors (see below), whose sum is σ = 72602880. Its totient is φ = 7630848.

The previous prime is 23715053. The next prime is 23715137. The reversal of 23715072 is 27051732.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 324828 + ... + 324900.

Almost surely, 223715072 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 23715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36301440).

23715072 is an abundant number, since it is smaller than the sum of its proper divisors (48887808).

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

23715072 is an equidigital number, since it uses as much as digits as its factorization.

23715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 23715072 is about 4869.8123167120. The cubic root of 23715072 is about 287.3038743036.

The spelling of 23715072 in words is "twenty-three million, seven hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 73 94 96 108 128 141 144 146 188 192 216 219 256 282 288 292 376 384 423 432 438 564 576 584 657 752 768 846 864 876 1128 1152 1168 1269 1314 1504 1692 1728 1752 1971 2256 2304 2336 2538 2628 3008 3384 3431 3456 3504 3942 4512 4672 5076 5256 6016 6768 6862 6912 7008 7884 9024 9344 10152 10293 10512 12032 13536 13724 14016 15768 18048 18688 20304 20586 21024 27072 27448 28032 30879 31536 36096 40608 41172 42048 54144 54896 56064 61758 63072 81216 82344 84096 92637 108288 109792 123516 126144 162432 164688 168192 185274 219584 247032 252288 324864 329376 370548 439168 494064 504576 658752 741096 878336 988128 1317504 1482192 1976256 2635008 2964384 3952512 5928768 7905024 11857536 23715072