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26634420 = 2234541401
BaseRepresentation
bin110010110011…
…0100010110100
31212010011120000
41211212202310
523304300140
62350511300
7442250241
oct145464264
955104500
1026634420
111404191a
128b05530
135697117
1437745c8
152511a30
hex19668b4

26634420 has 120 divisors (see below), whose sum is σ = 85804488. Its totient is φ = 6912000.

The previous prime is 26634403. The next prime is 26634431. The reversal of 26634420 is 2443662.

26634420 is a `hidden beast` number, since 2 + 6 + 634 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3709476 + 22924944 = 1926^2 + 4788^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66220 + ... + 66620.

Almost surely, 226634420 is an apocalyptic number.

26634420 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 26634420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42902244).

26634420 is an abundant number, since it is smaller than the sum of its proper divisors (59170068).

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

26634420 is a wasteful number, since it uses less digits than its factorization.

26634420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 26634420 is about 5160.8545803965. The cubic root of 26634420 is about 298.6398425589.

The spelling of 26634420 in words is "twenty-six million, six hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 401 405 410 492 540 615 738 802 810 820 1107 1203 1230 1476 1604 1620 1845 2005 2214 2406 2460 3321 3609 3690 4010 4428 4812 5535 6015 6642 7218 7380 8020 10827 11070 12030 13284 14436 16441 16605 18045 21654 22140 24060 32481 32882 33210 36090 43308 49323 54135 64962 65764 66420 72180 82205 98646 108270 129924 147969 162405 164410 197292 216540 246615 295938 324810 328820 443907 493230 591876 649620 739845 887814 986460 1331721 1479690 1775628 2219535 2663442 2959380 4439070 5326884 6658605 8878140 13317210 26634420