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8130954240 = 2103251937251
BaseRepresentation
bin1111001001010010…
…01000010000000000
3202222122211021100100
413210221020100000
5113123011013430
63422454322400
7405330653643
oct74451102000
922878737310
108130954240
1134a27912a2
1216ab059400
139c7704036
14571c35a5a
15328c66960
hex1e4a48400

8130954240 has 528 divisors, whose sum is σ = 30579232320. Its totient is φ = 1990656000.

The previous prime is 8130954239. The next prime is 8130954241. The reversal of 8130954240 is 424590318.

8130954240 is a `hidden beast` number, since 81 + 30 + 9 + 542 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8130954239) and next prime (8130954241).

It is a super-2 number, since 2×81309542402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8130954195 and 8130954204.

It is not an unprimeable number, because it can be changed into a prime (8130954241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32394115 + ... + 32394365.

Almost surely, 28130954240 is an apocalyptic number.

8130954240 is a gapful number since it is divisible by the number (80) 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 8130954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289616160).

8130954240 is an abundant number, since it is smaller than the sum of its proper divisors (22448278080).

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

8130954240 is a wasteful number, since it uses less digits than its factorization.

8130954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8130954240 is about 90171.8040187730. The cubic root of 8130954240 is about 2010.8538438166.

The spelling of 8130954240 in words is "eight billion, one hundred thirty million, nine hundred fifty-four thousand, two hundred forty".