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135226740 = 223511331619
BaseRepresentation
bin10000000111101…
…10010101110100
3100102110020012210
420003312111310
5234104223430
621230213420
73231260025
oct1003662564
9312406183
10135226740
116a371940
1239354270
132202882c
1413d60c4c
15bd122b0
hex80f6574

135226740 has 96 divisors (see below), whose sum is σ = 414973440. Its totient is φ = 32630400.

The previous prime is 135226727. The next prime is 135226753. The reversal of 135226740 is 47622531.

It is an interprime number because it is at equal distance from previous prime (135226727) and next prime (135226753).

It is a super-2 number, since 2×1352267402 = 36572542422055200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135226698 and 135226707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218151 + ... + 218769.

It is an arithmetic number, because the mean of its divisors is an integer number (4322640).

Almost surely, 2135226740 is an apocalyptic number.

135226740 is a gapful number since it is divisible by the number (10) 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 135226740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207486720).

135226740 is an abundant number, since it is smaller than the sum of its proper divisors (279746700).

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

135226740 is a wasteful number, since it uses less digits than its factorization.

135226740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 135226740 is about 11628.7032811058. The cubic root of 135226740 is about 513.2798233236.

The spelling of 135226740 in words is "one hundred thirty-five million, two hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 331 619 660 662 993 1238 1324 1655 1857 1986 2476 3095 3310 3641 3714 3972 4965 6190 6620 6809 7282 7428 9285 9930 10923 12380 13618 14564 18205 18570 19860 20427 21846 27236 34045 36410 37140 40854 43692 54615 68090 72820 81708 102135 109230 136180 204270 204889 218460 408540 409778 614667 819556 1024445 1229334 2048890 2253779 2458668 3073335 4097780 4507558 6146670 6761337 9015116 11268895 12293340 13522674 22537790 27045348 33806685 45075580 67613370 135226740