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1401430200 = 233524354319
BaseRepresentation
bin101001110001000…
…0010000010111000
310121200001000211020
41103202002002320
510332231231300
6351021302440
746504650222
oct12342020270
93550030736
101401430200
1165a086285
12331404a20
1319445c751
14d41a5412
15830788a0
hex538820b8

1401430200 has 96 divisors (see below), whose sum is σ = 4445548800. Its totient is φ = 365016960.

The previous prime is 1401430193. The next prime is 1401430211. The reversal of 1401430200 is 20341041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1401430200.

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, 1360 + ... + 52959.

It is an arithmetic number, because the mean of its divisors is an integer number (46307800).

Almost surely, 21401430200 is an apocalyptic number.

1401430200 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 1401430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222774400).

1401430200 is an abundant number, since it is smaller than the sum of its proper divisors (3044118600).

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

1401430200 is a wasteful number, since it uses less digits than its factorization.

1401430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54381 (or 54372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1401430200 is about 37435.6808406098. The cubic root of 1401430200 is about 1119.0697526560.

Adding to 1401430200 its reverse (20341041), we get a palindrome (1421771241).

The spelling of 1401430200 in words is "one billion, four hundred one million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 54319 108638 162957 217276 271595 325914 434552 543190 651828 814785 1086380 1303656 1357975 1629570 2172760 2335717 2715950 3259140 4073925 4671434 5431900 6518280 7007151 8147850 9342868 10863800 11678585 14014302 16295700 18685736 23357170 28028604 32591400 35035755 46714340 56057208 58392925 70071510 93428680 116785850 140143020 175178775 233571700 280286040 350357550 467143400 700715100 1401430200