Search a number
-
+
32327601240 = 233511234324763
BaseRepresentation
bin11110000110111000…
…000000110001011000
310002102222002022000110
4132012320000301120
51012201331214430
622503500404320
72223052035204
oct360670006130
9102388068013
1032327601240
111278a0a7320
1263225466a0
13308268243c
1417c961db04
15c9314d7b0
hex786e00c58

32327601240 has 256 divisors, whose sum is σ = 112971386880. Its totient is φ = 7321628160.

The previous prime is 32327601233. The next prime is 32327601277. The reversal of 32327601240 is 4210672323.

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 = 32327601198 and 32327601207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293099 + ... + 1317861.

It is an arithmetic number, because the mean of its divisors is an integer number (441294480).

Almost surely, 232327601240 is an apocalyptic number.

32327601240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32327601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56485693440).

32327601240 is an abundant number, since it is smaller than the sum of its proper divisors (80643785640).

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

32327601240 is a wasteful number, since it uses less digits than its factorization.

32327601240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24854 (or 24850 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 32327601240 in words is "thirty-two billion, three hundred twenty-seven million, six hundred one thousand, two hundred forty".