Search a number
-
+
31466064 = 2437711319
BaseRepresentation
bin111100000001…
…0001001010000
32012012122022210
41320002021100
531023403224
63042232120
7531312540
oct170021120
965178283
1031466064
1116841a13
12a655640
136699396
144271320
152b68429
hex1e02250

31466064 has 80 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 8856960.

The previous prime is 31466063. The next prime is 31466089. The reversal of 31466064 is 46066413.

It is a super-2 number, since 2×314660642 = 1980226367304192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31466063) 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, 23197 + ... + 24515.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 231466064 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 31466064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

31466064 is an abundant number, since it is smaller than the sum of its proper divisors (62813616).

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

31466064 is a wasteful number, since it uses less digits than its factorization.

31466064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 31466064 is about 5609.4620062890. The cubic root of 31466064 is about 315.7045253846.

It can be divided in two parts, 31 and 466064, that added together give a triangular number (466095 = T965).

The spelling of 31466064 in words is "thirty-one million, four hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1319 1491 1704 1988 2638 2982 3408 3957 3976 5276 5964 7914 7952 9233 10552 11928 15828 18466 21104 23856 27699 31656 36932 55398 63312 73864 93649 110796 147728 187298 221592 280947 374596 443184 561894 655543 749192 1123788 1311086 1498384 1966629 2247576 2622172 3933258 4495152 5244344 7866516 10488688 15733032 31466064