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1420202000 = 24537611663
BaseRepresentation
bin101010010100110…
…1001000000010000
310122222100201220002
41110221221000100
510402032431000
6352531505132
750123342420
oct12451510020
93588321802
101420202000
11669737868
123377581a8
13198302b19
14d6890480
1584a358d5
hex54a69010

1420202000 has 160 divisors (see below), whose sum is σ = 3991363584. Its totient is φ = 478656000.

The previous prime is 1420201997. The next prime is 1420202009. The reversal of 1420202000 is 2020241.

It is not an unprimeable number, because it can be changed into a prime (1420202009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853169 + ... + 854831.

Almost surely, 21420202000 is an apocalyptic number.

1420202000 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 1420202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995681792).

1420202000 is an abundant number, since it is smaller than the sum of its proper divisors (2571161584).

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

1420202000 is a wasteful number, since it uses less digits than its factorization.

1420202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1420202000 is about 37685.5675292279. The cubic root of 1420202000 is about 1124.0441593066.

Adding to 1420202000 its reverse (2020241), we get a palindrome (1422222241).

The spelling of 1420202000 in words is "one billion, four hundred twenty million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 61 70 80 100 112 122 125 140 175 200 244 250 280 305 350 400 427 488 500 560 610 700 854 875 976 1000 1220 1400 1525 1663 1708 1750 2000 2135 2440 2800 3050 3326 3416 3500 4270 4880 6100 6652 6832 7000 7625 8315 8540 10675 11641 12200 13304 14000 15250 16630 17080 21350 23282 24400 26608 30500 33260 34160 41575 42700 46564 53375 58205 61000 66520 83150 85400 93128 101443 106750 116410 122000 133040 166300 170800 186256 202886 207875 213500 232820 291025 332600 405772 415750 427000 465640 507215 582050 665200 710101 811544 831500 854000 931280 1014430 1164100 1420202 1455125 1623088 1663000 2028860 2328200 2536075 2840404 2910250 3326000 3550505 4057720 4656400 5072150 5680808 5820500 7101010 8115440 10144300 11361616 11641000 12680375 14202020 17752525 20288600 23282000 25360750 28404040 35505050 40577200 50721500 56808080 71010100 88762625 101443000 142020200 177525250 202886000 284040400 355050500 710101000 1420202000