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32420023040 = 28540961927
BaseRepresentation
bin11110001100011000…
…100100101100000000
310002200101222210220002
4132030120210230000
51012344011214130
622521001335132
72225253435416
oct361430445400
9102611883802
1032420023040
1112827292179
1263494974a8
1330988717b2
1417d79db2b6
15c9b307b45
hex78c624b00

32420023040 has 72 divisors (see below), whose sum is σ = 77847211680. Its totient is φ = 12936093696.

The previous prime is 32420023039. The next prime is 32420023073. The reversal of 32420023040 is 4032002423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492557 + ... + 554483.

Almost surely, 232420023040 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 32420023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38923605840).

32420023040 is an abundant number, since it is smaller than the sum of its proper divisors (45427188640).

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

32420023040 is an equidigital number, since it uses as much as digits as its factorization.

32420023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62357 (or 62343 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 32420023040 its reverse (4032002423), we get a palindrome (36452025463).

The spelling of 32420023040 in words is "thirty-two billion, four hundred twenty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 409 640 818 1280 1636 2045 3272 4090 6544 8180 13088 16360 26176 32720 52352 61927 65440 104704 123854 130880 247708 261760 309635 495416 523520 619270 990832 1238540 1981664 2477080 3963328 4954160 7926656 9908320 15853312 19816640 25328143 39633280 50656286 79266560 101312572 126640715 202625144 253281430 405250288 506562860 810500576 1013125720 1621001152 2026251440 3242002304 4052502880 6484004608 8105005760 16210011520 32420023040