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2406006640 = 24573940697
BaseRepresentation
bin1000111101101000…
…1011111101110000
320012200022210122001
42033122023331300
514411414203030
61034425023344
7113423501422
oct21732137560
96180283561
102406006640
111025145444
12571924b54
132c460c98b
1418b784812
15e1360cca
hex8f68bf70

2406006640 has 40 divisors (see below), whose sum is σ = 5601672720. Its totient is φ = 961076736.

The previous prime is 2406006637. The next prime is 2406006641. The reversal of 2406006640 is 466006042.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2406006599 and 2406006608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406006641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38772 + ... + 79468.

It is an arithmetic number, because the mean of its divisors is an integer number (140041818).

Almost surely, 22406006640 is an apocalyptic number.

2406006640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2406006640 is an abundant number, since it is smaller than the sum of its proper divisors (3195666080).

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

2406006640 is a wasteful number, since it uses less digits than its factorization.

2406006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41449 (or 41443 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2406006640 is about 49051.0615583394. The cubic root of 2406006640 is about 1339.9819259462.

The spelling of 2406006640 in words is "two billion, four hundred six million, six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 739 1478 2956 3695 5912 7390 11824 14780 29560 40697 59120 81394 162788 203485 325576 406970 651152 813940 1627880 3255760 30075083 60150166 120300332 150375415 240600664 300750830 481201328 601501660 1203003320 2406006640