Search a number
-
+
23675004 = 223623353
BaseRepresentation
bin101101001010…
…0000001111100
31122112211000000
41122110001330
522030100004
62203234300
7405143223
oct132240174
948484000
1023675004
1112400421
127b18990
134b9c0a2
143203cba
152129c39
hex169407c

23675004 has 84 divisors (see below), whose sum is σ = 65002896. Its totient is φ = 7527168.

The previous prime is 23674967. The next prime is 23675009. The reversal of 23675004 is 40057632.

It is a happy number.

23675004 is nontrivially palindromic in base 11.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23675009) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 66892 + ... + 67244.

It is an arithmetic number, because the mean of its divisors is an integer number (773844).

Almost surely, 223675004 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 23675004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32501448).

23675004 is an abundant number, since it is smaller than the sum of its proper divisors (41327892).

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

23675004 is a wasteful number, since it uses less digits than its factorization.

23675004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23675004 is about 4865.6966613220. The cubic root of 23675004 is about 287.1419775297.

The spelling of 23675004 in words is "twenty-three million, six hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 353 414 486 621 706 729 828 972 1059 1242 1412 1458 1863 2118 2484 2916 3177 3726 4236 5589 6354 7452 8119 9531 11178 12708 16238 16767 19062 22356 24357 28593 32476 33534 38124 48714 57186 67068 73071 85779 97428 114372 146142 171558 219213 257337 292284 343116 438426 514674 657639 876852 1029348 1315278 1972917 2630556 3945834 5918751 7891668 11837502 23675004