Search a number
-
+
23748140 = 22513241379
BaseRepresentation
bin101101010010…
…1111000101100
31122200112022202
41122211320230
522034420030
62205001032
7405566363
oct132457054
948615282
1023748140
1112450369
127b53178
134bc6470
1432227da
152141745
hex16a5e2c

23748140 has 48 divisors (see below), whose sum is σ = 54072480. Its totient is φ = 8709120.

The previous prime is 23748107. The next prime is 23748161. The reversal of 23748140 is 4184732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62471 + ... + 62849.

It is an arithmetic number, because the mean of its divisors is an integer number (1126510).

Almost surely, 223748140 is an apocalyptic number.

23748140 is a gapful number since it is divisible by the number (20) 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 23748140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27036240).

23748140 is an abundant number, since it is smaller than the sum of its proper divisors (30324340).

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

23748140 is a wasteful number, since it uses less digits than its factorization.

23748140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 23748140 is about 4873.2063366946. The cubic root of 23748140 is about 287.4373499278.

The spelling of 23748140 in words is "twenty-three million, seven hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 379 482 758 964 1205 1516 1895 2410 3133 3790 4820 4927 6266 7580 9854 12532 15665 19708 24635 31330 49270 62660 91339 98540 182678 365356 456695 913390 1187407 1826780 2374814 4749628 5937035 11874070 23748140