Search a number
-
+
136683216 = 24323167457
BaseRepresentation
bin10000010010110…
…01111011010000
3100112012020010100
420021121323100
5234442330331
621321332400
73246534225
oct1011317320
9315166110
10136683216
117017713a
1239937100
1322418757
141421d94c
15beedae6
hex8259ed0

136683216 has 120 divisors (see below), whose sum is σ = 401633024. Its totient is φ = 43338240.

The previous prime is 136683187. The next prime is 136683241. The reversal of 136683216 is 612386631.

136683216 is a `hidden beast` number, since 1 + 366 + 83 + 216 = 666.

It is a super-2 number, since 2×1366832162 = 37364603072205312, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298860 + ... + 299316.

Almost surely, 2136683216 is an apocalyptic number.

136683216 is a gapful number since it is divisible by the number (16) 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 136683216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200816512).

136683216 is an abundant number, since it is smaller than the sum of its proper divisors (264949808).

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

136683216 is a wasteful number, since it uses less digits than its factorization.

136683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 136683216 is about 11691.1597371689. The cubic root of 136683216 is about 515.1160275226.

The spelling of 136683216 in words is "one hundred thirty-six million, six hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 67 72 93 124 134 144 186 201 248 268 279 372 402 457 496 536 558 603 744 804 914 1072 1116 1206 1371 1488 1608 1828 2077 2232 2412 2742 3216 3656 4113 4154 4464 4824 5484 6231 7312 8226 8308 9648 10968 12462 14167 16452 16616 18693 21936 24924 28334 30619 32904 33232 37386 42501 49848 56668 61238 65808 74772 85002 91857 99696 113336 122476 127503 149544 170004 183714 226672 244952 255006 275571 299088 340008 367428 489904 510012 551142 680016 734856 949189 1020024 1102284 1469712 1898378 2040048 2204568 2847567 3796756 4409136 5695134 7593512 8542701 11390268 15187024 17085402 22780536 34170804 45561072 68341608 136683216