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31113040 = 245727937
BaseRepresentation
bin111011010101…
…1111101010000
32011112201001211
41312223331100
530431104130
63030505504
7525312400
oct166537520
964481054
1031113040
1116620762
12a505294
1365a47aa
1441bc800
152ae8a2a
hex1dabf50

31113040 has 60 divisors (see below), whose sum is σ = 84158676. Its totient is φ = 10665984.

The previous prime is 31113029. The next prime is 31113059. The reversal of 31113040 is 4031113.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 7376656 = 4872^2 + 2716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31113040.

It is a congruent number.

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, 49 + ... + 7888.

Almost surely, 231113040 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 31113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42079338).

31113040 is an abundant number, since it is smaller than the sum of its proper divisors (53045636).

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

31113040 is a wasteful number, since it uses less digits than its factorization.

31113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7951 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 31113040 is about 5577.9064172860. The cubic root of 31113040 is about 314.5194318207.

Adding to 31113040 its reverse (4031113), we get a palindrome (35144153).

The spelling of 31113040 in words is "thirty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 7937 15874 31748 39685 55559 63496 79370 111118 126992 158740 222236 277795 317480 388913 444472 555590 634960 777826 888944 1111180 1555652 1944565 2222360 3111304 3889130 4444720 6222608 7778260 15556520 31113040