Search a number
-
+
132824450 = 252113761107
BaseRepresentation
bin1111110101010…
…11110110000010
3100020221011220002
413322223312002
5233000340300
621102520002
73201663203
oct772536602
9306834802
10132824450
1168a80a80
1238596002
1321697265
14138d75aa
15b9da5d5
hex7eabd82

132824450 has 96 divisors (see below), whose sum is σ = 283963968. Its totient is φ = 45792000.

The previous prime is 132824443. The next prime is 132824453. The reversal of 132824450 is 54428231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132824453) 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, 1241297 + ... + 1241403.

It is an arithmetic number, because the mean of its divisors is an integer number (2957958).

Almost surely, 2132824450 is an apocalyptic number.

132824450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132824450 is an abundant number, since it is smaller than the sum of its proper divisors (151139518).

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

132824450 is a wasteful number, since it uses less digits than its factorization.

132824450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 132824450 is about 11524.9490237484. The cubic root of 132824450 is about 510.2221894858. Note that the first 3 decimals are identical.

The spelling of 132824450 in words is "one hundred thirty-two million, eight hundred twenty-four thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 37 50 55 61 74 107 110 122 185 214 275 305 370 407 535 550 610 671 814 925 1070 1177 1342 1525 1850 2035 2257 2354 2675 3050 3355 3959 4070 4514 5350 5885 6527 6710 7918 10175 11285 11770 13054 16775 19795 20350 22570 24827 29425 32635 33550 39590 43549 49654 56425 58850 65270 71797 87098 98975 112850 124135 143594 163175 197950 217745 241499 248270 326350 358985 435490 482998 620675 717970 1088725 1207495 1241350 1794925 2177450 2414990 2656489 3589850 5312978 6037475 12074950 13282445 26564890 66412225 132824450