Search a number
-
+
398690021100 = 2235271423133417
BaseRepresentation
bin1011100110100111100…
…01101110111011101100
31102010002101121112202210
411303103301232323230
523013004121133400
6503053342450420
740542624156360
oct5632361567354
91363071545683
10398690021100
111440a1139908
1265328593a10
132b79a11b2b7
14154222052a0
15a5868d6950
hex5cd3c6eeec

398690021100 has 144 divisors (see below), whose sum is σ = 1319271339008. Its totient is φ = 91064424960.

The previous prime is 398690021029. The next prime is 398690021101. The reversal of 398690021100 is 1120096893.

It is not an unprimeable number, because it can be changed into a prime (398690021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921592 + ... + 3055008.

Almost surely, 2398690021100 is an apocalyptic number.

398690021100 is a gapful number since it is divisible by the number (30) 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 398690021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659635669504).

398690021100 is an abundant number, since it is smaller than the sum of its proper divisors (920581317908).

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

398690021100 is a wasteful number, since it uses less digits than its factorization.

398690021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134864 (or 134857 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 398690021100 in words is "three hundred ninety-eight billion, six hundred ninety million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1423 2100 2846 4269 5692 7115 8538 9961 14230 17076 19922 21345 28460 29883 35575 39844 42690 49805 59766 71150 85380 99610 106725 119532 133417 142300 149415 199220 213450 249025 266834 298830 400251 426900 498050 533668 597660 667085 747075 800502 933919 996100 1334170 1494150 1601004 1867838 2001255 2668340 2801757 2988300 3335425 3735676 4002510 4669595 5603514 6670850 8005020 9339190 10006275 11207028 13341700 14008785 18678380 20012550 23347975 28017570 40025100 46695950 56035140 70043925 93391900 140087850 189852391 280175700 379704782 569557173 759409564 949261955 1139114346 1328966737 1898523910 2278228692 2657933474 2847785865 3797047820 3986900211 4746309775 5315866948 5695571730 6644833685 7973800422 9492619550 11391143460 13289667370 14238929325 15947600844 18985239100 19934501055 26579334740 28477858650 33224168425 39869002110 56955717300 66448336850 79738004220 99672505275 132896673700 199345010550 398690021100