Search a number
-
+
107240040 = 23325297889
BaseRepresentation
bin1100110010001…
…01101001101000
321110210100200100
412121011221220
5204423140130
614350305400
72441345115
oct631055150
9243710610
10107240040
1155597036
122bab8260
13192aa05b
141035790c
159634c60
hex6645a68

107240040 has 48 divisors (see below), whose sum is σ = 348531300. Its totient is φ = 28597248.

The previous prime is 107240027. The next prime is 107240069. The reversal of 107240040 is 40042701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105637284 + 1602756 = 10278^2 + 1266^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 107239995 and 107240022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148585 + ... + 149304.

Almost surely, 2107240040 is an apocalyptic number.

107240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107240040 is an abundant number, since it is smaller than the sum of its proper divisors (241291260).

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

107240040 is a wasteful number, since it uses less digits than its factorization.

107240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297906 (or 297899 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107240040 is about 10355.6767041078. The cubic root of 107240040 is about 475.1006841047.

Adding to 107240040 its reverse (40042701), we get a palindrome (147282741).

The spelling of 107240040 in words is "one hundred seven million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 297889 595778 893667 1191556 1489445 1787334 2383112 2681001 2978890 3574668 4468335 5362002 5957780 7149336 8936670 10724004 11915560 13405005 17873340 21448008 26810010 35746680 53620020 107240040