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26555040 = 25355683
BaseRepresentation
bin110010101001…
…1001010100000
31211222010200000
41211103022200
523244230130
62345100000
7441466641
oct145231240
954863600
1026555040
1113a98216
128a87600
135669c55
1437536c8
1524e8260
hex19532a0

26555040 has 144 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 7070976.

The previous prime is 26554973. The next prime is 26555057. The reversal of 26555040 is 4055562.

26555040 is a `hidden beast` number, since 2 + 655 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26554995 and 26555013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38539 + ... + 39221.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 226555040 is an apocalyptic number.

26555040 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 26555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

26555040 is an abundant number, since it is smaller than the sum of its proper divisors (67557888).

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

26555040 is an equidigital number, since it uses as much as digits as its factorization.

26555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 26555040 is about 5153.1582548957. The cubic root of 26555040 is about 298.3428631795.

The spelling of 26555040 in words is "twenty-six million, five hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 683 720 810 864 972 1080 1215 1296 1366 1440 1620 1944 2049 2160 2430 2592 2732 3240 3415 3888 4098 4320 4860 5464 6147 6480 6830 7776 8196 9720 10245 10928 12294 12960 13660 16392 18441 19440 20490 21856 24588 27320 30735 32784 36882 38880 40980 49176 54640 55323 61470 65568 73764 81960 92205 98352 109280 110646 122940 147528 163920 165969 184410 196704 221292 245880 276615 295056 327840 331938 368820 442584 491760 553230 590112 663876 737640 829845 885168 983520 1106460 1327752 1475280 1659690 1770336 2212920 2655504 2950560 3319380 4425840 5311008 6638760 8851680 13277520 26555040