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23129400 = 2335275507
BaseRepresentation
bin101100000111…
…0110100111000
31121112002120110
41120032310320
521410120100
62143424320
7400411440
oct130166470
947462513
1023129400
1112068508
1278b50a0
134a3a948
143101120
15206d250
hex160ed38

23129400 has 96 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 5285760.

The previous prime is 23129387. The next prime is 23129411. The reversal of 23129400 is 492132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 1447 + ... + 6953.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 223129400 is an apocalyptic number.

23129400 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 23129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

23129400 is an abundant number, since it is smaller than the sum of its proper divisors (58829640).

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

23129400 is a wasteful number, since it uses less digits than its factorization.

23129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 23129400 is about 4809.3034838737. The cubic root of 23129400 is about 284.9190290136.

The spelling of 23129400 in words is "twenty-three million, one hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 5507 11014 16521 22028 27535 33042 38549 44056 55070 66084 77098 82605 110140 115647 132168 137675 154196 165210 192745 220280 231294 275350 308392 330420 385490 413025 462588 550700 578235 660840 770980 826050 925176 963725 1101400 1156470 1541960 1652100 1927450 2312940 2891175 3304200 3854900 4625880 5782350 7709800 11564700 23129400