Search a number
-
+
23478160 = 245319467
BaseRepresentation
bin101100110001…
…1111110010000
31122011210222111
41121203332100
522002300120
62155115104
7403363306
oct131437620
948153874
1023478160
1112286542
127a42a94
134b30604
143192276
1520db75a
hex1663f90

23478160 has 40 divisors (see below), whose sum is σ = 56353536. Its totient is φ = 9087360.

The previous prime is 23478131. The next prime is 23478163. The reversal of 23478160 is 6187432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (23478163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2254 + ... + 7213.

Almost surely, 223478160 is an apocalyptic number.

23478160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23478160 is an abundant number, since it is smaller than the sum of its proper divisors (32875376).

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

23478160 is a wasteful number, since it uses less digits than its factorization.

23478160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 23478160 is about 4845.4267097955. The cubic root of 23478160 is about 286.3439550977.

The spelling of 23478160 in words is "twenty-three million, four hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 9467 18934 37868 47335 75736 94670 151472 189340 293477 378680 586954 757360 1173908 1467385 2347816 2934770 4695632 5869540 11739080 23478160