Search a number
-
+
23376528 = 2432723313
BaseRepresentation
bin101100100101…
…1001010010000
31121222122120100
41121023022100
521441022103
62153012400
7402461100
oct131131220
947878510
1023376528
111221714a
1279b4100
134ac6286
143167200
1520bb5a3
hex164b290

23376528 has 90 divisors (see below), whose sum is σ = 76125894. Its totient is φ = 6676992.

The previous prime is 23376503. The next prime is 23376539. The reversal of 23376528 is 82567332.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 451584 = 4788^2 + 672^2 .

It is a super-2 number, since 2×233765282 = 1092924122669568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23376492 and 23376501.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5400 + ... + 8712.

Almost surely, 223376528 is an apocalyptic number.

23376528 is a gapful number since it is divisible by the number (28) 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 23376528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38062947).

23376528 is an abundant number, since it is smaller than the sum of its proper divisors (52749366).

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

23376528 is a wasteful number, since it uses less digits than its factorization.

23376528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3325 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23376528 is about 4834.9279208691. The cubic root of 23376528 is about 285.9301832939.

The spelling of 23376528 in words is "twenty-three million, three hundred seventy-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3313 3528 6626 7056 9939 13252 19878 23191 26504 29817 39756 46382 53008 59634 69573 79512 92764 119268 139146 159024 162337 185528 208719 238536 278292 324674 371056 417438 477072 487011 556584 649348 834876 974022 1113168 1298696 1461033 1669752 1948044 2597392 2922066 3339504 3896088 5844132 7792176 11688264 23376528