Search a number
-
+
2407604540 = 2251116367139
BaseRepresentation
bin1000111110000001…
…0010000100111100
320012210022222112112
42033200102010330
514412321321130
61034523153152
7113443205135
oct21740220474
96183288475
102407604540
111026036a20
125723757b8
132c4a4c093
1418ba7cc8c
15e1579495
hex8f81213c

2407604540 has 48 divisors (see below), whose sum is σ = 5549523840. Its totient is φ = 870108480.

The previous prime is 2407604531. The next prime is 2407604543. The reversal of 2407604540 is 454067042.

It is a super-2 number, since 2×24076045402 = 11593119242057223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2407604497 and 2407604506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2407604543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2291 + ... + 69429.

It is an arithmetic number, because the mean of its divisors is an integer number (115615080).

Almost surely, 22407604540 is an apocalyptic number.

2407604540 is a gapful number since it is divisible by the number (20) 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 2407604540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774761920).

2407604540 is an abundant number, since it is smaller than the sum of its proper divisors (3141919300).

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

2407604540 is a wasteful number, since it uses less digits than its factorization.

2407604540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67322 (or 67320 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2407604540 is about 49067.3469835083. The cubic root of 2407604540 is about 1340.2785008124.

The spelling of 2407604540 in words is "two billion, four hundred seven million, six hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 7172 8965 17930 35860 67139 134278 268556 335695 671390 738529 1342780 1477058 2954116 3692645 7385290 10943657 14770580 21887314 43774628 54718285 109436570 120380227 218873140 240760454 481520908 601901135 1203802270 2407604540