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1423042400 = 255213293467
BaseRepresentation
bin101010011010001…
…1110011101100000
310200011201001012002
41110310132131200
510403244324100
6353112423132
750156442443
oct12464363540
93604631162
101423042400
116702a78aa
123386a7aa8
13198a88930
14d6dcd65a
1584de72d5
hex54d1e760

1423042400 has 144 divisors (see below), whose sum is σ = 3762040464. Its totient is φ = 522516480.

The previous prime is 1423042399. The next prime is 1423042451. The reversal of 1423042400 is 42403241.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3046967 + ... + 3047433.

It is an arithmetic number, because the mean of its divisors is an integer number (26125281).

Almost surely, 21423042400 is an apocalyptic number.

1423042400 is a gapful number since it is divisible by the number (10) 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 1423042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881020232).

1423042400 is an abundant number, since it is smaller than the sum of its proper divisors (2338998064).

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

1423042400 is a wasteful number, since it uses less digits than its factorization.

1423042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1423042400 is about 37723.2342197750. The cubic root of 1423042400 is about 1124.7930220047.

Adding to 1423042400 its reverse (42403241), we get a palindrome (1465445641).

The spelling of 1423042400 in words is "one billion, four hundred twenty-three million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 293 325 400 416 467 520 586 650 800 934 1040 1172 1300 1465 1868 2080 2335 2344 2600 2930 3736 3809 4670 4688 5200 5860 6071 7325 7472 7618 9340 9376 10400 11675 11720 12142 14650 14944 15236 18680 19045 23350 23440 24284 29300 30355 30472 37360 38090 46700 46880 48568 58600 60710 60944 74720 76180 93400 95225 97136 117200 121420 121888 136831 151775 152360 186800 190450 194272 234400 242840 273662 303550 304720 373600 380900 485680 547324 607100 609440 684155 761800 971360 1094648 1214200 1368310 1523600 1778803 2189296 2428400 2736620 3047200 3420775 3557606 4378592 4856800 5473240 6841550 7115212 8894015 10946480 13683100 14230424 17788030 21892960 27366200 28460848 35576060 44470075 54732400 56921696 71152120 88940150 109464800 142304240 177880300 284608480 355760600 711521200 1423042400