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5940956340 = 2236511172179
BaseRepresentation
bin1011000100001101…
…11100110010110100
3120100000221212000000
411202012330302310
544131341100330
62421303151300
7300136203264
oct54206746264
916300855000
105940956340
112579573480
121199745530
13738a951a7
1440503d7a4
1524b873560
hex1621bccb4

5940956340 has 336 divisors, whose sum is σ = 21616217280. Its totient is φ = 1354890240.

The previous prime is 5940956339. The next prime is 5940956387. The reversal of 5940956340 is 436590495.

5940956340 is a `hidden beast` number, since 5 + 9 + 4 + 0 + 9 + 5 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2725371 + ... + 2727549.

It is an arithmetic number, because the mean of its divisors is an integer number (64333980).

Almost surely, 25940956340 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 5940956340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808108640).

5940956340 is an abundant number, since it is smaller than the sum of its proper divisors (15675260940).

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

5940956340 is a wasteful number, since it uses less digits than its factorization.

5940956340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5940956340 is about 77077.5994696254. The cubic root of 5940956340 is about 1811.1404084766.

The spelling of 5940956340 in words is "five billion, nine hundred forty million, nine hundred fifty-six thousand, three hundred forty".