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32020004120 = 2351326477321
BaseRepresentation
bin11101110100100010…
…100111110100011000
310001122112021202002112
4131310202213310120
51011034110112440
622413151451452
72212325354456
oct356442476430
9101575252075
1032020004120
1112641504025
126257526b88
133033a24700
14179a82d9d6
15c7613d965
hex7748a7d18

32020004120 has 96 divisors (see below), whose sum is σ = 78144484320. Its totient is φ = 11802885120.

The previous prime is 32020004119. The next prime is 32020004123. The reversal of 32020004120 is 2140002023.

It is a junction number, because it is equal to n+sod(n) for n = 32020004095 and 32020004104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32020004123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4370060 + ... + 4377380.

It is an arithmetic number, because the mean of its divisors is an integer number (814005045).

Almost surely, 232020004120 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 32020004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39072242160).

32020004120 is an abundant number, since it is smaller than the sum of its proper divisors (46124480200).

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

32020004120 is a wasteful number, since it uses less digits than its factorization.

32020004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7988 counting only the distinct ones).

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

Adding to 32020004120 its reverse (2140002023), we get a palindrome (34160006143).

The spelling of 32020004120 in words is "thirty-two billion, twenty million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 647 676 845 1294 1352 1690 2588 3235 3380 5176 6470 6760 7321 8411 12940 14642 16822 25880 29284 33644 36605 42055 58568 67288 73210 84110 95173 109343 146420 168220 190346 218686 292840 336440 380692 437372 475865 546715 761384 874744 951730 1093430 1237249 1903460 2186860 2474498 3806920 4373720 4736687 4948996 6186245 9473374 9897992 12372490 18946748 23683435 24744980 37893496 47366870 49489960 61576931 94733740 123153862 189467480 246307724 307884655 492615448 615769310 800500103 1231538620 1601000206 2463077240 3202000412 4002500515 6404000824 8005001030 16010002060 32020004120