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1421201400 = 2335210332293
BaseRepresentation
bin101010010110101…
…1100111111111000
310200001020111210220
41110231130333320
510402311421100
6353005140040
750135004213
oct12455347770
93601214726
101421201400
1166a25a713
12337b5a620
13198592998
14d6a7077a
1584b81aa0
hex54b5cff8

1421201400 has 96 divisors (see below), whose sum is σ = 4411912560. Its totient is φ = 378455040.

The previous prime is 1421201399. The next prime is 1421201423. The reversal of 1421201400 is 41021241.

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 1421201400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618654 + ... + 620946.

Almost surely, 21421201400 is an apocalyptic number.

1421201400 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 1421201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205956280).

1421201400 is an abundant number, since it is smaller than the sum of its proper divisors (2990711160).

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

1421201400 is a wasteful number, since it uses less digits than its factorization.

1421201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1421201400 is about 37698.8249153737. The cubic root of 1421201400 is about 1124.3077617917.

Adding to 1421201400 its reverse (41021241), we get a palindrome (1462222641).

The spelling of 1421201400 in words is "one billion, four hundred twenty-one million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1033 2066 2293 3099 4132 4586 5165 6198 6879 8264 9172 10330 11465 12396 13758 15495 18344 20660 22930 24792 25825 27516 30990 34395 41320 45860 51650 55032 57325 61980 68790 77475 91720 103300 114650 123960 137580 154950 171975 206600 229300 275160 309900 343950 458600 619800 687900 1375800 2368669 4737338 7106007 9474676 11843345 14212014 18949352 23686690 28424028 35530035 47373380 56848056 59216725 71060070 94746760 118433450 142120140 177650175 236866900 284240280 355300350 473733800 710600700 1421201400