Search a number
-
+
132331104 = 25331031487
BaseRepresentation
bin1111110001100…
…11011001100000
3100020000010011000
413320303121200
5232334043404
621044152000
73164536653
oct770633140
9306003130
10132331104
1168774354
1238398600
1321553839
141380989a
15b93e339
hex7e33660

132331104 has 96 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 43652736.

The previous prime is 132331063. The next prime is 132331127. The reversal of 132331104 is 401133231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88249 + ... + 89735.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2132331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

132331104 is an abundant number, since it is smaller than the sum of its proper divisors (257643936).

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

132331104 is a wasteful number, since it uses less digits than its factorization.

132331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132331104 is about 11503.5257204042. The cubic root of 132331104 is about 509.5897046076.

Adding to 132331104 its reverse (401133231), we get a palindrome (533464335).

The spelling of 132331104 in words is "one hundred thirty-two million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 103 108 144 206 216 288 309 412 432 618 824 864 927 1236 1487 1648 1854 2472 2781 2974 3296 3708 4461 4944 5562 5948 7416 8922 9888 11124 11896 13383 14832 17844 22248 23792 26766 29664 35688 40149 44496 47584 53532 71376 80298 88992 107064 142752 153161 160596 214128 306322 321192 428256 459483 612644 642384 918966 1225288 1284768 1378449 1837932 2450576 2756898 3675864 4135347 4901152 5513796 7351728 8270694 11027592 14703456 16541388 22055184 33082776 44110368 66165552 132331104