Search a number
-
+
133639740 = 223351319037
BaseRepresentation
bin1111111011100…
…10111000111100
3100022110121021000
413331302320330
5233202432430
621132210300
73211630143
oct775627074
9308417230
10133639740
1169488573
1238909990
13218c1390
1413a6a75a
15baebe60
hex7f72e3c

133639740 has 96 divisors (see below), whose sum is σ = 447773760. Its totient is φ = 32894208.

The previous prime is 133639733. The next prime is 133639757. The reversal of 133639740 is 47936331.

133639740 is a `hidden beast` number, since 13 + 3 + 639 + 7 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133639695 and 133639704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2499 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (4664310).

Almost surely, 2133639740 is an apocalyptic number.

133639740 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 133639740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223886880).

133639740 is an abundant number, since it is smaller than the sum of its proper divisors (314134020).

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

133639740 is a wasteful number, since it uses less digits than its factorization.

133639740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19068 (or 19060 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 133639740 is about 11560.2655678838. The cubic root of 133639740 is about 511.2639927384.

The spelling of 133639740 in words is "one hundred thirty-three million, six hundred thirty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 19037 38074 57111 76148 95185 114222 171333 190370 228444 247481 285555 342666 380740 494962 513999 571110 685332 742443 856665 989924 1027998 1142220 1237405 1484886 1713330 2055996 2227329 2474810 2569995 2969772 3426660 3712215 4454658 4949620 5139990 6681987 7424430 8909316 10279980 11136645 13363974 14848860 22273290 26727948 33409935 44546580 66819870 133639740