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172420420 = 22523596353
BaseRepresentation
bin10100100011011…
…10110101000100
3110000102212100111
422101232311010
5323114423140
625035322404
74162356304
oct1221566504
9400385314
10172420420
1189366017
12498b0404
132994bc23
1418c83604
151020c7ea
hexa46ed44

172420420 has 48 divisors (see below), whose sum is σ = 384289920. Its totient is φ = 64841216.

The previous prime is 172420337. The next prime is 172420427. The reversal of 172420420 is 24024271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 172420391 and 172420400.

It is not an unprimeable number, because it can be changed into a prime (172420427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23964 + ... + 30316.

It is an arithmetic number, because the mean of its divisors is an integer number (8006040).

Almost surely, 2172420420 is an apocalyptic number.

172420420 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 172420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192144960).

172420420 is an abundant number, since it is smaller than the sum of its proper divisors (211869500).

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

172420420 is a wasteful number, since it uses less digits than its factorization.

172420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 172420420 is about 13130.8956282502. The cubic root of 172420420 is about 556.5825244036.

Adding to 172420420 its reverse (24024271), we get a palindrome (196444691).

The spelling of 172420420 in words is "one hundred seventy-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 5428 6353 6785 12706 13570 25412 27140 31765 63530 127060 146119 292238 374827 584476 730595 749654 1461190 1499308 1874135 2922380 3748270 7496540 8621021 17242042 34484084 43105105 86210210 172420420