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21532000420 = 22572171968023
BaseRepresentation
bin10100000011011010…
…000100000010100100
32001120121020221202001
4110003122010002210
5323044143003140
613520333255044
71361403661300
oct240332040244
961517227661
1021532000420
11914a286677
12420b034484
132051bc2568
141083958d00
158604d6e9a
hex5036840a4

21532000420 has 144 divisors (see below), whose sum is σ = 58625804160. Its totient is φ = 6582352896.

The previous prime is 21532000411. The next prime is 21532000481. The reversal of 21532000420 is 2400023512.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282529 + ... + 350551.

It is an arithmetic number, because the mean of its divisors is an integer number (407123640).

Almost surely, 221532000420 is an apocalyptic number.

21532000420 is a gapful number since it is divisible by the number (20) 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 21532000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29312902080).

21532000420 is an abundant number, since it is smaller than the sum of its proper divisors (37093803740).

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

21532000420 is a wasteful number, since it uses less digits than its factorization.

21532000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68082 (or 68073 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 21532000420 its reverse (2400023512), we get a palindrome (23932023932).

The spelling of 21532000420 in words is "twenty-one billion, five hundred thirty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 49 68 70 76 85 95 98 119 133 140 170 190 196 238 245 266 323 340 380 476 490 532 595 646 665 833 931 980 1190 1292 1330 1615 1666 1862 2261 2380 2660 3230 3332 3724 4165 4522 4655 6460 8330 9044 9310 11305 15827 16660 18620 22610 31654 45220 63308 68023 79135 136046 158270 272092 316540 340115 476161 680230 952322 1156391 1292437 1360460 1904644 2312782 2380805 2584874 3333127 4625564 4761610 5169748 5781955 6462185 6666254 8094737 9047059 9523220 11563910 12924370 13332508 16189474 16665635 18094118 21971429 23127820 25848740 32378948 33331270 36188236 40473685 43942858 45235295 56663159 63329413 66662540 80947370 87885716 90470590 109857145 113326318 126658826 153800003 161894740 180941180 219714290 226652636 253317652 283315795 307600006 316647065 439428580 566631590 615200012 633294130 769000015 1076600021 1133263180 1266588260 1538000030 2153200042 3076000060 4306400084 5383000105 10766000210 21532000420