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1420100800 = 26524320641
BaseRepresentation
bin101010010100101…
…0000010011000000
310122222011121001221
41110221100103000
510402021211200
6352525404424
750122441366
oct12451202300
93588147057
101420100800
11669678828
12337709714
13198298a41
14d6865636
1584a1591a
hex54a504c0

1420100800 has 84 divisors (see below), whose sum is σ = 3575772376. Its totient is φ = 554803200.

The previous prime is 1420100783. The next prime is 1420100807. The reversal of 1420100800 is 80010241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1420100807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58480 + ... + 79120.

Almost surely, 21420100800 is an apocalyptic number.

1420100800 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 1420100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787886188).

1420100800 is an abundant number, since it is smaller than the sum of its proper divisors (2155671576).

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

1420100800 is a wasteful number, since it uses less digits than its factorization.

1420100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20706 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1420100800 is about 37684.2248162278. The cubic root of 1420100800 is about 1124.0174598251.

The spelling of 1420100800 in words is "one billion, four hundred twenty million, one hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 160 172 200 215 320 344 400 430 688 800 860 1075 1376 1600 1720 2150 2752 3440 4300 6880 8600 13760 17200 20641 34400 41282 68800 82564 103205 165128 206410 330256 412820 516025 660512 825640 887563 1032050 1321024 1651280 1775126 2064100 3302560 3550252 4128200 4437815 6605120 7100504 8256400 8875630 14201008 16512800 17751260 22189075 28402016 33025600 35502520 44378150 56804032 71005040 88756300 142010080 177512600 284020160 355025200 710050400 1420100800