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842232540 = 223553833191
BaseRepresentation
bin110010001100110…
…111001011011100
32011200210211211210
4302030313023130
53211102420130
6215323544420
726604600312
oct6214671334
92150724753
10842232540
113a2466856
121b608b110
1310564b966
147dc000b2
154de1a5b0
hex323372dc

842232540 has 96 divisors (see below), whose sum is σ = 2432457216. Its totient is φ = 217634560.

The previous prime is 842232539. The next prime is 842232541. The reversal of 842232540 is 45232248.

It is an interprime number because it is at equal distance from previous prime (842232539) and next prime (842232541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 842232498 and 842232507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842232541) 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, 262345 + ... + 265535.

It is an arithmetic number, because the mean of its divisors is an integer number (25338096).

Almost surely, 2842232540 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 842232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216228608).

842232540 is an abundant number, since it is smaller than the sum of its proper divisors (1590224676).

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

842232540 is a wasteful number, since it uses less digits than its factorization.

842232540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 842232540 is about 29021.2429092897. The cubic root of 842232540 is about 944.3739645778.

Adding to 842232540 its reverse (45232248), we get a palindrome (887464788).

The spelling of 842232540 in words is "eight hundred forty-two million, two hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 83 106 159 166 212 249 265 318 332 415 498 530 636 795 830 996 1060 1245 1590 1660 2490 3180 3191 4399 4980 6382 8798 9573 12764 13197 15955 17596 19146 21995 26394 31910 38292 43990 47865 52788 63820 65985 87980 95730 131970 169123 191460 263940 264853 338246 507369 529706 676492 794559 845615 1014738 1059412 1324265 1589118 1691230 2029476 2536845 2648530 3178236 3382460 3972795 5073690 5297060 7945590 10147380 14037209 15891180 28074418 42111627 56148836 70186045 84223254 140372090 168446508 210558135 280744180 421116270 842232540