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23427072 = 211323141
BaseRepresentation
bin101100101011…
…1100000000000
31122002012220100
41121113200000
521444131242
62154042400
7403061334
oct131274000
948065810
1023427072
1112251119
127a19400
134b13296
14317b7c4
1520cb54c
hex1657800

23427072 has 144 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 7372800.

The previous prime is 23427067. The next prime is 23427077. The reversal of 23427072 is 27072432.

It is an interprime number because it is at equal distance from previous prime (23427067) and next prime (23427077).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23427077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571372 + ... + 571412.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 223427072 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 23427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

23427072 is an abundant number, since it is smaller than the sum of its proper divisors (48120768).

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

23427072 is a wasteful number, since it uses less digits than its factorization.

23427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 23427072 is about 4840.1520637269. The cubic root of 23427072 is about 286.1361113905.

The spelling of 23427072 in words is "twenty-three million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 41 48 62 64 72 82 93 96 123 124 128 144 164 186 192 246 248 256 279 288 328 369 372 384 492 496 512 558 576 656 738 744 768 984 992 1024 1116 1152 1271 1312 1476 1488 1536 1968 1984 2048 2232 2304 2542 2624 2952 2976 3072 3813 3936 3968 4464 4608 5084 5248 5904 5952 6144 7626 7872 7936 8928 9216 10168 10496 11439 11808 11904 15252 15744 15872 17856 18432 20336 20992 22878 23616 23808 30504 31488 31744 35712 40672 41984 45756 47232 47616 61008 62976 63488 71424 81344 83968 91512 94464 95232 122016 125952 142848 162688 183024 188928 190464 244032 251904 285696 325376 366048 377856 488064 571392 650752 732096 755712 976128 1301504 1464192 1952256 2603008 2928384 3904512 5856768 7809024 11713536 23427072