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431055420 = 2235232910771
BaseRepresentation
bin11001101100010…
…110001000111100
31010001002212212120
4121230112020330
51340322233140
6110435002540
713452624225
oct3154261074
91101085776
10431055420
11201357354
12100439450
136b3c5aa3
144136a24c
1527c9a1d0
hex19b1623c

431055420 has 96 divisors (see below), whose sum is σ = 1302981120. Its totient is φ = 106149120.

The previous prime is 431055409. The next prime is 431055431. The reversal of 431055420 is 24550134.

It is an interprime number because it is at equal distance from previous prime (431055409) and next prime (431055431).

It is a super-2 number, since 2×4310554202 = 371617550222752800, which contains 22 as substring.

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, 34635 + ... + 45405.

It is an arithmetic number, because the mean of its divisors is an integer number (13572720).

Almost surely, 2431055420 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 431055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651490560).

431055420 is an abundant number, since it is smaller than the sum of its proper divisors (871925700).

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

431055420 is a wasteful number, since it uses less digits than its factorization.

431055420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835 (or 10833 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 431055420 is about 20761.8741928565. The cubic root of 431055420 is about 755.4012574030.

The spelling of 431055420 in words is "four hundred thirty-one million, fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 8004 10005 10771 13340 20010 21542 32313 40020 43084 53855 64626 107710 129252 161565 215420 247733 312359 323130 495466 624718 646260 743199 937077 990932 1238665 1249436 1486398 1561795 1874154 2477330 2972796 3123590 3715995 3748308 4685385 4954660 6247180 7184257 7431990 9370770 14368514 14863980 18741540 21552771 28737028 35921285 43105542 71842570 86211084 107763855 143685140 215527710 431055420