Search a number
-
+
23927270400 = 2103452111049
BaseRepresentation
bin10110010010001011…
…010010110000000000
32021202112101021110000
4112102023102300000
5343000340123100
614554140240000
71504640304555
oct262213226000
967675337400
1023927270400
11a169358440
124779240000
132344213287
14122db06a2c
15950926900
hex5922d2c00

23927270400 has 660 divisors, whose sum is σ = 96746542200. Its totient is φ = 5795020800.

The previous prime is 23927270359. The next prime is 23927270429. The reversal of 23927270400 is 407272932.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22809076 + ... + 22810124.

It is an arithmetic number, because the mean of its divisors is an integer number (146585670).

Almost surely, 223927270400 is an apocalyptic number.

23927270400 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 23927270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48373271100).

23927270400 is an abundant number, since it is smaller than the sum of its proper divisors (72819271800).

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

23927270400 is a wasteful number, since it uses less digits than its factorization.

23927270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 23927270400 in words is "twenty-three billion, nine hundred twenty-seven million, two hundred seventy thousand, four hundred".