Search a number
-
+
31513040 = 24513157193
BaseRepresentation
bin111100000110…
…1100111010000
32012022000202122
41320031213100
531031404130
63043233412
7531566516
oct170154720
965260678
1031513040
1116874239
12a678868
1366b4890
1442844b6
152b772e5
hex1e0d9d0

31513040 has 80 divisors (see below), whose sum is σ = 79817808. Its totient is φ = 11501568.

The previous prime is 31513037. The next prime is 31513049. The reversal of 31513040 is 4031513.

It can be written as a sum of positive squares in 8 ways, for example, as 7463824 + 24049216 = 2732^2 + 4904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31513049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163184 + ... + 163376.

Almost surely, 231513040 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 31513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39908904).

31513040 is an abundant number, since it is smaller than the sum of its proper divisors (48304768).

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

31513040 is a wasteful number, since it uses less digits than its factorization.

31513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 31513040 is about 5613.6476554910. The cubic root of 31513040 is about 315.8615534099.

Adding to 31513040 its reverse (4031513), we get a palindrome (35544553).

The spelling of 31513040 in words is "thirty-one million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 193 208 260 314 386 520 628 772 785 965 1040 1256 1544 1570 1930 2041 2509 2512 3088 3140 3860 4082 5018 6280 7720 8164 10036 10205 12545 12560 15440 16328 20072 20410 25090 30301 32656 40144 40820 50180 60602 81640 100360 121204 151505 163280 200720 242408 303010 393913 484816 606020 787826 1212040 1575652 1969565 2424080 3151304 3939130 6302608 7878260 15756520 31513040