Search a number
-
+
132449040 = 24335173607
BaseRepresentation
bin1111110010100…
…00001100010000
3100020020002221000
413321100030100
5232401332130
621050502000
73165540543
oct771201420
9306202830
10132449040
1168844a19
1238434900
1321595419
141383a85a
15b964260
hex7e50310

132449040 has 160 divisors (see below), whose sum is σ = 483183360. Its totient is φ = 33232896.

The previous prime is 132449029. The next prime is 132449059. The reversal of 132449040 is 40944231.

132449040 is a `hidden beast` number, since 132 + 4 + 490 + 40 = 666.

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 = 132448995 and 132449013.

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, 34917 + ... + 38523.

It is an arithmetic number, because the mean of its divisors is an integer number (3019896).

Almost surely, 2132449040 is an apocalyptic number.

132449040 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 132449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

132449040 is an abundant number, since it is smaller than the sum of its proper divisors (350734320).

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

132449040 is a wasteful number, since it uses less digits than its factorization.

132449040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132449040 is about 11508.6506593953. The cubic root of 132449040 is about 509.7410450072.

The spelling of 132449040 in words is "one hundred thirty-two million, four hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3607 3672 4080 4590 6120 7214 7344 9180 10821 12240 14428 18035 18360 21642 28856 32463 36070 36720 43284 54105 57712 61319 64926 72140 86568 97389 108210 122638 129852 144280 162315 173136 183957 194778 216420 245276 259704 288560 306595 324630 367914 389556 432840 486945 490552 519408 551871 613190 649260 735828 779112 865680 919785 973890 981104 1103742 1226380 1298520 1471656 1558224 1655613 1839570 1947780 2207484 2452760 2597040 2759355 2943312 3311226 3679140 3895560 4414968 4905520 5518710 6622452 7358280 7791120 8278065 8829936 11037420 13244904 14716560 16556130 22074840 26489808 33112260 44149680 66224520 132449040