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23379072 = 273107569
BaseRepresentation
bin101100100101…
…1110010000000
31121222210001120
41121023302000
521441112242
62153032240
7402501363
oct131136200
947883046
1023379072
1112219052
1279b5680
134ac7492
1431680da
1520bc1ec
hex164bc80

23379072 has 64 divisors (see below), whose sum is σ = 62791200. Its totient is φ = 7706624.

The previous prime is 23379007. The next prime is 23379073. The reversal of 23379072 is 27097332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23379073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40804 + ... + 41372.

Almost surely, 223379072 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 23379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395600).

23379072 is an abundant number, since it is smaller than the sum of its proper divisors (39412128).

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

23379072 is a wasteful number, since it uses less digits than its factorization.

23379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 23379072 is about 4835.1909993298. The cubic root of 23379072 is about 285.9405552362.

The spelling of 23379072 in words is "twenty-three million, three hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 569 642 856 1138 1284 1707 1712 2276 2568 3414 3424 4552 5136 6828 6848 9104 10272 13656 13696 18208 20544 27312 36416 41088 54624 60883 72832 109248 121766 182649 218496 243532 365298 487064 730596 974128 1461192 1948256 2922384 3896512 5844768 7793024 11689536 23379072