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423133400 = 235217971283
BaseRepresentation
bin11001001110001…
…000000011011000
31002111012101220102
4121032020003120
51331310232100
6105553114532
713325401034
oct3116100330
91074171812
10423133400
111a7936428
12b9858a48
1369880cc1
14402a71c4
1527232cd5
hex193880d8

423133400 has 96 divisors (see below), whose sum is σ = 1053213840. Its totient is φ = 157532160.

The previous prime is 423133391. The next prime is 423133423. The reversal of 423133400 is 4331324.

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 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, 329159 + ... + 330441.

Almost surely, 2423133400 is an apocalyptic number.

423133400 is a gapful number since it is divisible by the number (40) 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 423133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526606920).

423133400 is an abundant number, since it is smaller than the sum of its proper divisors (630080440).

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

423133400 is a wasteful number, since it uses less digits than its factorization.

423133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 423133400 is about 20570.2066105326. The cubic root of 423133400 is about 750.7449782833.

Adding to 423133400 its reverse (4331324), we get a palindrome (427464724).

The spelling of 423133400 in words is "four hundred twenty-three million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 97 100 136 170 194 200 340 388 425 485 680 776 850 970 1283 1649 1700 1940 2425 2566 3298 3400 3880 4850 5132 6415 6596 8245 9700 10264 12830 13192 16490 19400 21811 25660 32075 32980 41225 43622 51320 64150 65960 82450 87244 109055 124451 128300 164900 174488 218110 248902 256600 329800 436220 497804 545275 622255 872440 995608 1090550 1244510 2115667 2181100 2489020 3111275 4231334 4362200 4978040 6222550 8462668 10578335 12445100 16925336 21156670 24890200 42313340 52891675 84626680 105783350 211566700 423133400