Search a number
-
+
31088480 = 255832341
BaseRepresentation
bin111011010010…
…1111101100000
32011111110101012
41312211331200
530424312410
63030200052
7525150653
oct166457540
964443335
1031088480
1116604265
12a4b3028
136596567
1441b389a
152ae1605
hex1da5f60

31088480 has 48 divisors (see below), whose sum is σ = 74363184. Its totient is φ = 12280320.

The previous prime is 31088471. The next prime is 31088489. The reversal of 31088480 is 8488013.

It is an interprime number because it is at equal distance from previous prime (31088471) and next prime (31088489).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31088489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12110 + ... + 14450.

It is an arithmetic number, because the mean of its divisors is an integer number (1549233).

Almost surely, 231088480 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 31088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37181592).

31088480 is an abundant number, since it is smaller than the sum of its proper divisors (43274704).

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

31088480 is a wasteful number, since it uses less digits than its factorization.

31088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 31088480 is about 5575.7044397995. The cubic root of 31088480 is about 314.4366516243.

The spelling of 31088480 in words is "thirty-one million, eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2341 2656 3320 4682 6640 9364 11705 13280 18728 23410 37456 46820 74912 93640 187280 194303 374560 388606 777212 971515 1554424 1943030 3108848 3886060 6217696 7772120 15544240 31088480