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26064640 = 28572909
BaseRepresentation
bin110001101101…
…1011100000000
31211001012222001
41203123130000
523133032030
62330353344
7434355130
oct143333400
954035861
1026064640
1113792828
12888b854
135527984
143666ac0
15244ccca
hex18db700

26064640 has 72 divisors (see below), whose sum is σ = 71376480. Its totient is φ = 8933376.

The previous prime is 26064601. The next prime is 26064659. The reversal of 26064640 is 4646062.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 26064599 and 26064608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7506 + ... + 10414.

It is an arithmetic number, because the mean of its divisors is an integer number (991340).

Almost surely, 226064640 is an apocalyptic number.

26064640 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 26064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35688240).

26064640 is an abundant number, since it is smaller than the sum of its proper divisors (45311840).

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

26064640 is an equidigital number, since it uses as much as digits as its factorization.

26064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2923 counting only the distinct ones).

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

The square root of 26064640 is about 5105.3540523650. The cubic root of 26064640 is about 296.4949110314.

The spelling of 26064640 in words is "twenty-six million, sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2909 4480 5818 8960 11636 14545 20363 23272 29090 40726 46544 58180 81452 93088 101815 116360 162904 186176 203630 232720 325808 372352 407260 465440 651616 744704 814520 930880 1303232 1629040 1861760 2606464 3258080 3723520 5212928 6516160 13032320 26064640