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200415420 = 223251958601
BaseRepresentation
bin10111111001000…
…01100010111100
3111222010011021100
423330201202330
5402301243140
631515333100
74652334342
oct1374414274
9458104240
10200415420
11a3147087
1257151190
13326a140a
141c88d992
15128dc530
hexbf218bc

200415420 has 72 divisors (see below), whose sum is σ = 639933840. Its totient is φ = 50630400.

The previous prime is 200415407. The next prime is 200415427. The reversal of 200415420 is 24514002.

200415420 is a `hidden beast` number, since 200 + 41 + 5 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200415393 and 200415402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200415427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25881 + ... + 32720.

It is an arithmetic number, because the mean of its divisors is an integer number (8887970).

Almost surely, 2200415420 is an apocalyptic number.

200415420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200415420 is an abundant number, since it is smaller than the sum of its proper divisors (439518420).

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

200415420 is a wasteful number, since it uses less digits than its factorization.

200415420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58635 (or 58630 counting only the distinct ones).

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

The square root of 200415420 is about 14156.8153198380. The cubic root of 200415420 is about 585.2081661103.

Adding to 200415420 its reverse (24514002), we get a palindrome (224929422).

It can be divided in two parts, 2004 and 15420, that added together give a square (17424 = 1322).

The spelling of 200415420 in words is "two hundred million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 58601 117202 175803 234404 293005 351606 527409 586010 703212 879015 1054818 1113419 1172020 1758030 2109636 2226838 2637045 3340257 3516060 4453676 5274090 5567095 6680514 10020771 10548180 11134190 13361028 16701285 20041542 22268380 33402570 40083084 50103855 66805140 100207710 200415420