Search a number
-
+
31044020 = 22572331311
BaseRepresentation
bin111011001101…
…1000110110100
32011102012101112
41312123012310
530421402040
63025214152
7524604230
oct166330664
964365345
1031044020
1116583917
12a491358
13657c257
1441a15c0
152ad3365
hex1d9b1b4

31044020 has 96 divisors (see below), whose sum is σ = 80510976. Its totient is φ = 9820800.

The previous prime is 31044019. The next prime is 31044029. The reversal of 31044020 is 2044013.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31043986 and 31044004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31044029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99665 + ... + 99975.

It is an arithmetic number, because the mean of its divisors is an integer number (838656).

Almost surely, 231044020 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 31044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40255488).

31044020 is an abundant number, since it is smaller than the sum of its proper divisors (49466956).

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

31044020 is a wasteful number, since it uses less digits than its factorization.

31044020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 31044020 is about 5571.7160731681. The cubic root of 31044020 is about 314.2866869313.

Adding to 31044020 its reverse (2044013), we get a palindrome (33088033).

The spelling of 31044020 in words is "thirty-one million, forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 311 322 434 460 620 622 644 713 805 868 1085 1244 1426 1555 1610 2170 2177 2852 3110 3220 3565 4340 4354 4991 6220 7130 7153 8708 9641 9982 10885 14260 14306 19282 19964 21770 24955 28612 35765 38564 43540 48205 49910 50071 67487 71530 96410 99820 100142 134974 143060 192820 200284 221743 250355 269948 337435 443486 500710 674870 886972 1001420 1108715 1349740 1552201 2217430 3104402 4434860 6208804 7761005 15522010 31044020