Search a number
-
+
431370420 = 2235133714947
BaseRepresentation
bin11001101101100…
…011000010110100
31010001200212222020
4121231203002310
51340412323140
6110445433140
713455405465
oct3155430264
91101625866
10431370420
11201551a88
1210056b7b0
136b4a6290
144140cd6c
1527d0d6d0
hex19b630b4

431370420 has 96 divisors (see below), whose sum is σ = 1335992448. Its totient is φ = 103306752.

The previous prime is 431370419. The next prime is 431370421. The reversal of 431370420 is 24073134.

It is an interprime number because it is at equal distance from previous prime (431370419) and next prime (431370421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431370421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21387 + ... + 36333.

It is an arithmetic number, because the mean of its divisors is an integer number (13916588).

Almost surely, 2431370420 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 431370420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667996224).

431370420 is an abundant number, since it is smaller than the sum of its proper divisors (904622028).

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

431370420 is a wasteful number, since it uses less digits than its factorization.

431370420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15009 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 431370420 is about 20769.4588278077. The cubic root of 431370420 is about 755.5852194076.

The spelling of 431370420 in words is "four hundred thirty-one million, three hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 9620 14430 14947 28860 29894 44841 59788 74735 89682 149470 179364 194311 224205 298940 388622 448410 553039 582933 777244 896820 971555 1106078 1165866 1659117 1943110 2212156 2331732 2765195 2914665 3318234 3886220 5530390 5829330 6636468 7189507 8295585 11060780 11658660 14379014 16591170 21568521 28758028 33182340 35947535 43137042 71895070 86274084 107842605 143790140 215685210 431370420