Search a number
-
+
23638080 = 263524623
BaseRepresentation
bin101101000101…
…1000001000000
31122110221100110
41122023001000
522022404310
62202351320
7404630454
oct132130100
948427313
1023638080
1112385704
127abb540
134b8833b
1431d4664
15211dd20
hex168b040

23638080 has 56 divisors (see below), whose sum is σ = 75053952. Its totient is φ = 6303232.

The previous prime is 23638063. The next prime is 23638081. The reversal of 23638080 is 8083632.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23638081) 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, 11352 + ... + 13271.

Almost surely, 223638080 is an apocalyptic number.

23638080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23638080 is an abundant number, since it is smaller than the sum of its proper divisors (51415872).

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

23638080 is a wasteful number, since it uses less digits than its factorization.

23638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24643 (or 24633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23638080 is about 4861.9008628313. The cubic root of 23638080 is about 286.9926224394.

The spelling of 23638080 in words is "twenty-three million, six hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 24623 49246 73869 98492 123115 147738 196984 246230 295476 369345 393968 492460 590952 738690 787936 984920 1181904 1477380 1575872 1969840 2363808 2954760 3939680 4727616 5909520 7879360 11819040 23638080