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2909013240 = 23357191131613
BaseRepresentation
bin1010110101100100…
…0000010011111000
321111201211011222010
42231121000103320
521424201410430
61200354125520
7132042130110
oct25531002370
97451734863
102909013240
111263075781
126922808a0
133748a8413
141d84c0040
151205becb0
hexad6404f8

2909013240 has 256 divisors, whose sum is σ = 10598169600. Its totient is φ = 623960064.

The previous prime is 2909013203. The next prime is 2909013269. The reversal of 2909013240 is 423109092.

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 = 2909013198 and 2909013207.

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, 1802674 + ... + 1804286.

It is an arithmetic number, because the mean of its divisors is an integer number (41399100).

Almost surely, 22909013240 is an apocalyptic number.

2909013240 is a gapful number since it is divisible by the number (20) 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 2909013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299084800).

2909013240 is an abundant number, since it is smaller than the sum of its proper divisors (7689156360).

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

2909013240 is a wasteful number, since it uses less digits than its factorization.

2909013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2909013240 is about 53935.2689805103. The cubic root of 2909013240 is about 1427.5190064567.

The spelling of 2909013240 in words is "two billion, nine hundred nine million, thirteen thousand, two hundred forty".