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26430040 = 23571353137
BaseRepresentation
bin110010011010…
…0101001011000
31211201210012101
41210310221120
523231230130
62342253144
7440436340
oct144645130
954653171
1026430040
1113a1230a
128a271b4
1356250a0
14371dd20
1524c11ca
hex1934a58

26430040 has 128 divisors (see below), whose sum is σ = 75116160. Its totient is φ = 8146944.

The previous prime is 26430031. The next prime is 26430043. The reversal of 26430040 is 4003462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26430043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 192852 + ... + 192988.

It is an arithmetic number, because the mean of its divisors is an integer number (586845).

Almost surely, 226430040 is an apocalyptic number.

26430040 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 26430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558080).

26430040 is an abundant number, since it is smaller than the sum of its proper divisors (48686120).

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

26430040 is a wasteful number, since it uses less digits than its factorization.

26430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 26430040 is about 5141.0154638943. The cubic root of 26430040 is about 297.8740064648.

The spelling of 26430040 in words is "twenty-six million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 91 104 106 130 137 140 182 212 260 265 274 280 364 371 424 455 520 530 548 685 689 728 742 910 959 1060 1096 1370 1378 1484 1781 1820 1855 1918 2120 2740 2756 2968 3445 3562 3640 3710 3836 4795 4823 5480 5512 6890 7124 7261 7420 7672 8905 9590 9646 12467 13780 14248 14522 14840 17810 19180 19292 24115 24934 27560 29044 35620 36305 38360 38584 48230 49868 50827 58088 62335 71240 72610 94393 96460 99736 101654 124670 145220 188786 192920 203308 249340 254135 290440 377572 406616 471965 498680 508270 660751 755144 943930 1016540 1321502 1887860 2033080 2643004 3303755 3775720 5286008 6607510 13215020 26430040