Search a number
-
+
132031004 = 2276770379
BaseRepresentation
bin1111101111010…
…10001000011100
3100012102212111012
413313222020130
5232244443004
621033514352
73162150020
oct767521034
9305385435
10132031004
1168589936
12382729b8
132147a071
141376c380
15b8d046e
hex7dea21c

132031004 has 24 divisors (see below), whose sum is σ = 268007040. Its totient is φ = 55739376.

The previous prime is 132031001. The next prime is 132031013. The reversal of 132031004 is 400130231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 132031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33314 + ... + 37065.

It is an arithmetic number, because the mean of its divisors is an integer number (11166960).

Almost surely, 2132031004 is an apocalyptic number.

132031004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132031004 is an abundant number, since it is smaller than the sum of its proper divisors (135976036).

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

132031004 is a wasteful number, since it uses less digits than its factorization.

132031004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70457 (or 70455 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132031004 is about 11490.4744897676. The cubic root of 132031004 is about 509.2041978127.

Adding to 132031004 its reverse (400130231), we get a palindrome (532161235).

The spelling of 132031004 in words is "one hundred thirty-two million, thirty-one thousand, four".

Divisors: 1 2 4 7 14 28 67 134 268 469 938 1876 70379 140758 281516 492653 985306 1970612 4715393 9430786 18861572 33007751 66015502 132031004