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136611420 = 223511231607
BaseRepresentation
bin10000010010010…
…00011001011100
3100112001120122020
420021020121130
5234433031140
621320020140
73246115011
oct1011103134
9315046566
10136611420
1170128200
1239901650
13223c1b7a
1414201708
15bed76d0
hex824865c

136611420 has 144 divisors (see below), whose sum is σ = 434724864. Its totient is φ = 31996800.

The previous prime is 136611401. The next prime is 136611427. The reversal of 136611420 is 24116631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136611427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224757 + ... + 225363.

Almost surely, 2136611420 is an apocalyptic number.

136611420 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 136611420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217362432).

136611420 is an abundant number, since it is smaller than the sum of its proper divisors (298113444).

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

136611420 is a wasteful number, since it uses less digits than its factorization.

136611420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136611420 is about 11688.0888086975. The cubic root of 136611420 is about 515.0258195495.

The spelling of 136611420 in words is "one hundred thirty-six million, six hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 607 620 660 682 726 930 1023 1210 1214 1364 1452 1705 1815 1821 1860 2046 2420 2428 3035 3410 3630 3642 3751 4092 5115 6070 6677 6820 7260 7284 7502 9105 10230 11253 12140 13354 15004 18210 18755 18817 20031 20460 22506 26708 33385 36420 37510 37634 40062 45012 56265 56451 66770 73447 75020 75268 80124 94085 100155 112530 112902 133540 146894 188170 200310 206987 220341 225060 225804 282255 293788 367235 376340 400620 413974 440682 564510 620961 734470 827948 881364 1034935 1101705 1129020 1241922 1468940 2069870 2203410 2276857 2483844 3104805 4139740 4406820 4553714 6209610 6830571 9107428 11384285 12419220 13661142 22768570 27322284 34152855 45537140 68305710 136611420