Search a number
-
+
2413002132 = 2232614392503
BaseRepresentation
bin1000111111010011…
…0111110110010100
320020011111012122100
42033310313312110
514420212032012
61035235002100
7113540115432
oct21764676624
96204435570
102413002132
111029093242
12574139330
132c5bbbb18
1418c685d52
15e1c938dc
hex8fd37d94

2413002132 has 72 divisors (see below), whose sum is σ = 6216129920. Its totient is φ = 789030720.

The previous prime is 2413002131. The next prime is 2413002133. The reversal of 2413002132 is 2312003142.

It is an interprime number because it is at equal distance from previous prime (2413002131) and next prime (2413002133).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962793 + ... + 965295.

Almost surely, 22413002132 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 2413002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108064960).

2413002132 is an abundant number, since it is smaller than the sum of its proper divisors (3803127788).

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

2413002132 is a wasteful number, since it uses less digits than its factorization.

2413002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2413002132 is about 49122.3180641956. The cubic root of 2413002132 is about 1341.2793402995.

Adding to 2413002132 its reverse (2312003142), we get a palindrome (4725005274).

The spelling of 2413002132 in words is "two billion, four hundred thirteen million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 439 549 732 878 1098 1317 1756 2196 2503 2634 3951 5006 5268 7509 7902 10012 15018 15804 22527 26779 30036 45054 53558 80337 90108 107116 152683 160674 241011 305366 321348 458049 482022 610732 916098 964044 1098817 1374147 1832196 2197634 2748294 3296451 4395268 5496588 6592902 9889353 13185804 19778706 39557412 67027837 134055674 201083511 268111348 402167022 603250533 804334044 1206501066 2413002132