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26379640 = 2357243313
BaseRepresentation
bin110010010100…
…0010101111000
31211122020001201
41210220111320
523223122030
62341223544
7440136400
oct144502570
954566051
1026379640
1113988461
128a01bb4
135608171
143709800
1524b12ca
hex1928578

26379640 has 96 divisors (see below), whose sum is σ = 70876080. Its totient is φ = 8805888.

The previous prime is 26379607. The next prime is 26379653. The reversal of 26379640 is 4697362.

It is a self number, because there is not a number n which added to its sum of digits gives 26379640.

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 23 ways as a sum of consecutive naturals, for example, 84124 + ... + 84436.

Almost surely, 226379640 is an apocalyptic number.

26379640 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 26379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35438040).

26379640 is an abundant number, since it is smaller than the sum of its proper divisors (44496440).

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

26379640 is a wasteful number, since it uses less digits than its factorization.

26379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 26379640 is about 5136.1113695090. Note that the first 3 decimals coincide. The cubic root of 26379640 is about 297.6845452454.

The spelling of 26379640 in words is "twenty-six million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 313 344 392 430 490 602 626 860 980 1204 1252 1505 1565 1720 1960 2107 2191 2408 2504 3010 3130 4214 4382 6020 6260 8428 8764 10535 10955 12040 12520 13459 15337 16856 17528 21070 21910 26918 30674 42140 43820 53836 61348 67295 76685 84280 87640 94213 107672 122696 134590 153370 188426 269180 306740 376852 471065 538360 613480 659491 753704 942130 1318982 1884260 2637964 3297455 3768520 5275928 6594910 13189820 26379640