Search a number
-
+
132520140 = 223252953479
BaseRepresentation
bin1111110011000…
…01100011001100
3100020100201110100
413321201203030
5232411121030
621052211100
73166255044
oct771414314
9306321410
10132520140
1168893385
1238469a90
13215bb8ac
1413858724
15b97a360
hex7e618cc

132520140 has 144 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 33406464.

The previous prime is 132520099. The next prime is 132520147. The reversal of 132520140 is 41025231.

132520140 is a `hidden beast` number, since 1 + 3 + 2 + 520 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (132520147) 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, 276421 + ... + 276899.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2132520140 is an apocalyptic number.

132520140 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 132520140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

132520140 is an abundant number, since it is smaller than the sum of its proper divisors (292049460).

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

132520140 is a wasteful number, since it uses less digits than its factorization.

132520140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132520140 is about 11511.7392256774. The cubic root of 132520140 is about 509.8322400940.

Adding to 132520140 its reverse (41025231), we get a palindrome (173545371).

The spelling of 132520140 in words is "one hundred thirty-two million, five hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 159 174 180 212 261 265 290 318 348 435 477 479 522 530 580 636 795 870 954 958 1044 1060 1305 1437 1537 1590 1740 1908 1916 2385 2395 2610 2874 3074 3180 4311 4611 4770 4790 5220 5748 6148 7185 7685 8622 9222 9540 9580 13833 13891 14370 15370 17244 18444 21555 23055 25387 27666 27782 28740 30740 41673 43110 46110 50774 55332 55564 69165 69455 76161 83346 86220 92220 101548 125019 126935 138330 138910 152322 166692 208365 228483 250038 253870 276660 277820 304644 380805 416730 456966 500076 507740 625095 736223 761610 833460 913932 1142415 1250190 1472446 1523220 2208669 2284830 2500380 2944892 3681115 4417338 4569660 6626007 7362230 8834676 11043345 13252014 14724460 22086690 26504028 33130035 44173380 66260070 132520140