Search a number
-
+
20004125400 = 23325271587629
BaseRepresentation
bin10010101000010101…
…101011101011011000
31220122010021212020100
4102220111223223120
5311432024003100
613104553455400
71305502155210
oct225025535330
956563255210
1020004125400
118535897546
123a63411560
131b6a4c05bc
14d7aa7b240
157c12d3400
hex4a856bad8

20004125400 has 144 divisors (see below), whose sum is σ = 76777786800. Its totient is φ = 4572368640.

The previous prime is 20004125371. The next prime is 20004125497. The reversal of 20004125400 is 452140002.

20004125400 is a `hidden beast` number, since 200 + 0 + 41 + 25 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 781215 + ... + 806414.

It is an arithmetic number, because the mean of its divisors is an integer number (533179075).

Almost surely, 220004125400 is an apocalyptic number.

20004125400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20004125400 is an abundant number, since it is smaller than the sum of its proper divisors (56773661400).

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

20004125400 is a wasteful number, since it uses less digits than its factorization.

20004125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587658 (or 1587646 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20004125400 its reverse (452140002), we get a palindrome (20456265402).

The spelling of 20004125400 in words is "twenty billion, four million, one hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 1587629 3175258 4762887 6350516 7938145 9525774 11113403 12701032 14288661 15876290 19051548 22226806 23814435 28577322 31752580 33340209 38103096 39690725 44453612 47628870 55567015 57154644 63505160 66680418 71443305 79381450 88907224 95257740 100020627 111134030 114309288 119072175 133360836 142886610 158762900 166701045 190515480 200041254 222268060 238144350 266721672 277835075 285773220 317525800 333402090 357216525 400082508 444536120 476288700 500103135 555670150 571546440 666804180 714433050 800165016 833505225 952577400 1000206270 1111340300 1333608360 1428866100 1667010450 2000412540 2222680600 2500515675 2857732200 3334020900 4000825080 5001031350 6668041800 10002062700 20004125400