Search a number
-
+
132461730 = 2355192151
BaseRepresentation
bin1111110010100…
…11010010100010
3100020020202100000
413321103102202
5232402233410
621051040430
73165622542
oct771232242
9306222300
10132461730
1168853505
1238440116
132159b12b
1413841322
15b967dc0
hex7e534a2

132461730 has 144 divisors (see below), whose sum is σ = 379439424. Its totient is φ = 33242400.

The previous prime is 132461717. The next prime is 132461737. The reversal of 132461730 is 37164231.

132461730 is a `hidden beast` number, since 13 + 2 + 4 + 617 + 30 = 666.

It is a super-3 number, since 3×1324617303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132461694 and 132461703.

It is not an unprimeable number, because it can be changed into a prime (132461737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 877155 + ... + 877305.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2132461730 is an apocalyptic number.

132461730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132461730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

132461730 is an abundant number, since it is smaller than the sum of its proper divisors (246977694).

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

132461730 is a wasteful number, since it uses less digits than its factorization.

132461730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 132461730 is about 11509.2019705973. The cubic root of 132461730 is about 509.7573239909.

The spelling of 132461730 in words is "one hundred thirty-two million, four hundred sixty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 151 162 171 190 243 270 285 302 342 361 405 453 486 513 570 722 755 810 855 906 1026 1083 1215 1359 1510 1539 1710 1805 2166 2265 2430 2565 2718 2869 3078 3249 3610 4077 4530 4617 5130 5415 5738 6498 6795 7695 8154 8607 9234 9747 10830 12231 13590 14345 15390 16245 17214 19494 20385 23085 24462 25821 28690 29241 32490 36693 40770 43035 46170 48735 51642 54511 58482 61155 73386 77463 86070 87723 97470 109022 122310 129105 146205 154926 163533 175446 183465 232389 258210 272555 292410 327066 366930 387315 438615 464778 490599 545110 697167 774630 817665 877230 981198 1161945 1394334 1471797 1635330 2323890 2452995 2943594 3485835 4415391 4905990 6971670 7358985 8830782 13246173 14717970 22076955 26492346 44153910 66230865 132461730