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136852440 = 233519193311
BaseRepresentation
bin10000010100000…
…11001111011000
3100112111211020220
420022003033120
5240013234230
621325120040
73251140464
oct1012031730
9315454226
10136852440
117028229a
12399b9020
132247779a
14142654a4
15c033d10
hex82833d8

136852440 has 128 divisors (see below), whose sum is σ = 435801600. Its totient is φ = 34283520.

The previous prime is 136852439. The next prime is 136852483. The reversal of 136852440 is 44258631.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

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, 439885 + ... + 440195.

It is an arithmetic number, because the mean of its divisors is an integer number (3404700).

Almost surely, 2136852440 is an apocalyptic number.

136852440 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 136852440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217900800).

136852440 is an abundant number, since it is smaller than the sum of its proper divisors (298949160).

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

136852440 is a wasteful number, since it uses less digits than its factorization.

136852440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 136852440 is about 11698.3947616756. The cubic root of 136852440 is about 515.3285238520.

The spelling of 136852440 in words is "one hundred thirty-six million, eight hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 193 228 285 311 380 386 456 570 579 622 760 772 933 965 1140 1158 1244 1544 1555 1866 1930 2280 2316 2488 2895 3110 3667 3732 3860 4632 4665 5790 5909 6220 7334 7464 7720 9330 11001 11580 11818 12440 14668 17727 18335 18660 22002 23160 23636 29336 29545 35454 36670 37320 44004 47272 55005 59090 60023 70908 73340 88008 88635 110010 118180 120046 141816 146680 177270 180069 220020 236360 240092 300115 354540 360138 440040 480184 600230 709080 720276 900345 1140437 1200460 1440552 1800690 2280874 2400920 3421311 3601380 4561748 5702185 6842622 7202760 9123496 11404370 13685244 17106555 22808740 27370488 34213110 45617480 68426220 136852440