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23941400 = 235273349
BaseRepresentation
bin101101101010…
…1000100011000
31200001100102112
41123111010120
522112111100
62213051452
7410333000
oct133250430
950040375
1023941400
111257258a
128026b88
134c63412
143273000
15217db35
hex16d5118

23941400 has 96 divisors (see below), whose sum is σ = 65100000. Its totient is φ = 8184960.

The previous prime is 23941399. The next prime is 23941403. The reversal of 23941400 is 414932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23941403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68426 + ... + 68774.

It is an arithmetic number, because the mean of its divisors is an integer number (678125).

Almost surely, 223941400 is an apocalyptic number.

23941400 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 23941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550000).

23941400 is an abundant number, since it is smaller than the sum of its proper divisors (41158600).

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

23941400 is a wasteful number, since it uses less digits than its factorization.

23941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 23941400 is about 4892.9949928444. The cubic root of 23941400 is about 288.2149565482.

The spelling of 23941400 in words is "twenty-three million, nine hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 349 350 392 490 686 698 700 980 1225 1372 1396 1400 1715 1745 1960 2443 2450 2744 2792 3430 3490 4886 4900 6860 6980 8575 8725 9772 9800 12215 13720 13960 17101 17150 17450 19544 24430 34202 34300 34900 48860 61075 68404 68600 69800 85505 97720 119707 122150 136808 171010 239414 244300 342020 427525 478828 488600 598535 684040 855050 957656 1197070 1710100 2394140 2992675 3420200 4788280 5985350 11970700 23941400