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431104020 = 2235173711423
BaseRepresentation
bin11001101100100…
…010000000010100
31010001012100112120
4121230202000110
51340330312040
6110440015540
713453216014
oct3154420024
91101170476
10431104020
1120138a916
121004615b0
136b411c49
144137dc44
1527ca97d0
hex19b22014

431104020 has 96 divisors (see below), whose sum is σ = 1312754688. Its totient is φ = 105265152.

The previous prime is 431104013. The next prime is 431104033. The reversal of 431104020 is 20401134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32029 + ... + 43451.

It is an arithmetic number, because the mean of its divisors is an integer number (13674528).

Almost surely, 2431104020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656377344).

431104020 is an abundant number, since it is smaller than the sum of its proper divisors (881650668).

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

431104020 is a wasteful number, since it uses less digits than its factorization.

431104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11489 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 431104020 is about 20763.0445744356. The cubic root of 431104020 is about 755.4296459580.

Adding to 431104020 its reverse (20401134), we get a palindrome (451505154).

The spelling of 431104020 in words is "four hundred thirty-one million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 11423 12580 18870 22846 34269 37740 45692 57115 68538 114230 137076 171345 194191 228460 342690 388382 422651 582573 685380 776764 845302 970955 1165146 1267953 1690604 1941910 2113255 2330292 2535906 2912865 3883820 4226510 5071812 5825730 6339765 7185067 8453020 11651460 12679530 14370134 21555201 25359060 28740268 35925335 43110402 71850670 86220804 107776005 143701340 215552010 431104020