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26790480 = 2433579157
BaseRepresentation
bin110011000110…
…0101001010000
31212102002122000
41212030221100
523324243410
62354114000
7443500233
oct146145120
955362560
1026790480
11141390a2
128b7b900
135720172
1437b541a
152542dc0
hex198ca50

26790480 has 160 divisors (see below), whose sum is σ = 94041600. Its totient is φ = 7008768.

The previous prime is 26790457. The next prime is 26790497. The reversal of 26790480 is 8409762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170562 + ... + 170718.

It is an arithmetic number, because the mean of its divisors is an integer number (587760).

Almost surely, 226790480 is an apocalyptic number.

26790480 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 26790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47020800).

26790480 is an abundant number, since it is smaller than the sum of its proper divisors (67251120).

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

26790480 is a wasteful number, since it uses less digits than its factorization.

26790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26790480 is about 5175.9520863316. The cubic root of 26790480 is about 299.2219840482.

The spelling of 26790480 in words is "twenty-six million, seven hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 157 158 180 216 237 240 270 314 316 360 395 432 471 474 540 628 632 711 720 785 790 942 948 1080 1185 1256 1264 1413 1422 1570 1580 1884 1896 2133 2160 2355 2370 2512 2826 2844 3140 3160 3555 3768 3792 4239 4266 4710 4740 5652 5688 6280 6320 7065 7110 7536 8478 8532 9420 9480 10665 11304 11376 12403 12560 14130 14220 16956 17064 18840 18960 21195 21330 22608 24806 28260 28440 33912 34128 37209 37680 42390 42660 49612 56520 56880 62015 67824 74418 84780 85320 99224 111627 113040 124030 148836 169560 170640 186045 198448 223254 248060 297672 334881 339120 372090 446508 496120 558135 595344 669762 744180 893016 992240 1116270 1339524 1488360 1674405 1786032 2232540 2679048 2976720 3348810 4465080 5358096 6697620 8930160 13395240 26790480