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23827140 = 22325196967
BaseRepresentation
bin101101011100…
…1001011000100
31122211112200200
41122321023010
522044432030
62210410500
7406345611
oct132711304
948745620
1023827140
11124a4757
127b90a30
134c233cc
143243508
152159d60
hex16b92c4

23827140 has 72 divisors (see below), whose sum is σ = 76090560. Its totient is φ = 6018624.

The previous prime is 23827129. The next prime is 23827151. The reversal of 23827140 is 4172832.

It is an interprime number because it is at equal distance from previous prime (23827129) and next prime (23827151).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64 + ... + 6903.

Almost surely, 223827140 is an apocalyptic number.

23827140 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 23827140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38045280).

23827140 is an abundant number, since it is smaller than the sum of its proper divisors (52263420).

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

23827140 is a wasteful number, since it uses less digits than its factorization.

23827140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23827140 is about 4881.3051533376. The cubic root of 23827140 is about 287.7557245824.

Adding to 23827140 its reverse (4172832), we get a palindrome (27999972).

The spelling of 23827140 in words is "twenty-three million, eight hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6967 13934 20901 27868 34835 41802 62703 69670 83604 104505 125406 132373 139340 209010 250812 264746 313515 397119 418020 529492 627030 661865 794238 1191357 1254060 1323730 1588476 1985595 2382714 2647460 3971190 4765428 5956785 7942380 11913570 23827140