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646135740 = 2232527712959
BaseRepresentation
bin100110100000110…
…011111110111100
31200000211002121100
4212200303332330
52310402320430
6144040533100
722004030445
oct4640637674
91600732540
10646135740
113017aa388
12160481190
13a3b30153
1461b562cc
153bad2960
hex26833fbc

646135740 has 72 divisors (see below), whose sum is σ = 1967172480. Its totient is φ = 171667584.

The previous prime is 646135733. The next prime is 646135771. The reversal of 646135740 is 47531646.

It is a happy number.

646135740 is a `hidden beast` number, since 646 + 1 + 3 + 5 + 7 + 4 + 0 = 666.

It is a super-3 number, since 3×6461357403 (a number of 27 digits) contains 333 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 = 646135695 and 646135704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43381 + ... + 56339.

It is an arithmetic number, because the mean of its divisors is an integer number (27321840).

Almost surely, 2646135740 is an apocalyptic number.

646135740 is a gapful number since it is divisible by the number (60) 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 646135740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983586240).

646135740 is an abundant number, since it is smaller than the sum of its proper divisors (1321036740).

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

646135740 is a wasteful number, since it uses less digits than its factorization.

646135740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 646135740 is about 25419.2002234531. The cubic root of 646135740 is about 864.5190907173.

The spelling of 646135740 in words is "six hundred forty-six million, one hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 12959 16620 24930 25918 38877 49860 51836 64795 77754 116631 129590 155508 194385 233262 259180 388770 466524 583155 777540 1166310 2332620 3589643 7179286 10768929 14358572 17948215 21537858 32306787 35896430 43075716 53844645 64613574 71792860 107689290 129227148 161533935 215378580 323067870 646135740