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431220020 = 225711280013
BaseRepresentation
bin11001101100111…
…110010100110100
31010001102020122212
4121230332110310
51340343020040
6110442312552
713454211140
oct3154762464
91101366585
10431220020
11201459a90
121004b8758
136b45299a
14413b0220
1527ccdd65
hex19b3e534

431220020 has 48 divisors (see below), whose sum is σ = 1129016448. Its totient is φ = 134405760.

The previous prime is 431220019. The next prime is 431220059. The reversal of 431220020 is 20022134.

431220020 = 21702 + 21712 + ... + 22572.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 431219977 and 431220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138467 + ... + 141546.

It is an arithmetic number, because the mean of its divisors is an integer number (23521176).

Almost surely, 2431220020 is an apocalyptic number.

It is an amenable number.

431220020 is an abundant number, since it is smaller than the sum of its proper divisors (697796428).

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

431220020 is a wasteful number, since it uses less digits than its factorization.

431220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280040 (or 280038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 431220020 is about 20765.8378111744. The cubic root of 431220020 is about 755.4973960262.

Adding to 431220020 its reverse (20022134), we get a palindrome (451242154).

The spelling of 431220020 in words is "four hundred thirty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 280013 560026 1120052 1400065 1960091 2800130 3080143 3920182 5600260 6160286 7840364 9800455 12320572 15400715 19600910 21561001 30801430 39201820 43122002 61602860 86244004 107805005 215610010 431220020