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23153240 = 23511101521
BaseRepresentation
bin101100001010…
…0101001011000
31121120022021102
41120110221120
521411400430
62144130532
7400541105
oct130245130
947508242
1023153240
1112084410
127906a48
134a48756
143109aac
152075345
hex1614a58

23153240 has 64 divisors (see below), whose sum is σ = 57503520. Its totient is φ = 8320000.

The previous prime is 23153197. The next prime is 23153293. The reversal of 23153240 is 4235132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44180 + ... + 44700.

Almost surely, 223153240 is an apocalyptic number.

23153240 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 23153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28751760).

23153240 is an abundant number, since it is smaller than the sum of its proper divisors (34350280).

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

23153240 is a wasteful number, since it uses less digits than its factorization.

23153240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23153240 is about 4811.7813749172. The cubic root of 23153240 is about 285.0168862468.

Adding to 23153240 its reverse (4235132), we get a palindrome (27388372).

It can be divided in two parts, 2315 and 3240, that added together give a palindrome (5555).

The spelling of 23153240 in words is "twenty-three million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 521 808 1010 1042 1111 2020 2084 2222 2605 4040 4168 4444 5210 5555 5731 8888 10420 11110 11462 20840 22220 22924 28655 44440 45848 52621 57310 105242 114620 210484 229240 263105 420968 526210 578831 1052420 1157662 2104840 2315324 2894155 4630648 5788310 11576620 23153240