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913472640 = 2734567263
BaseRepresentation
bin110110011100100…
…111110010000000
32100122212012220000
4312130213302000
53332322111030
6230350520000
731431250353
oct6634476200
92318765800
10913472640
114296a4573
12215b06000
13117332a72
148946629a
15552dd860
hex36727c80

913472640 has 320 divisors, whose sum is σ = 3323453760. Its totient is φ = 239044608.

The previous prime is 913472627. The next prime is 913472689. The reversal of 913472640 is 46274319.

913472640 is a `hidden beast` number, since 9 + 1 + 3 + 4 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 913472595 and 913472604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3473149 + ... + 3473411.

It is an arithmetic number, because the mean of its divisors is an integer number (10385793).

Almost surely, 2913472640 is an apocalyptic number.

913472640 is a gapful number since it is divisible by the number (90) 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 913472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661726880).

913472640 is an abundant number, since it is smaller than the sum of its proper divisors (2409981120).

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

913472640 is a wasteful number, since it uses less digits than its factorization.

913472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 913472640 is about 30223.7098980254. The cubic root of 913472640 is about 970.2832063550.

The spelling of 913472640 in words is "nine hundred thirteen million, four hundred seventy-two thousand, six hundred forty".