Search a number
-
+
31980312 = 23337131627
BaseRepresentation
bin111100111111…
…1101100011000
32020011202202000
41321333230120
531141332222
63101241000
7535554030
oct171775430
966152660
1031980312
1117063311
12a863160
136819480
1443668c0
152c1a9ac
hex1e7fb18

31980312 has 128 divisors (see below), whose sum is σ = 109401600. Its totient is φ = 8429184.

The previous prime is 31980307. The next prime is 31980323. The reversal of 31980312 is 21308913.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18843 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (854700).

Almost surely, 231980312 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 31980312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54700800).

31980312 is an abundant number, since it is smaller than the sum of its proper divisors (77421288).

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

31980312 is a wasteful number, since it uses less digits than its factorization.

31980312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 31980312 is about 5655.1137919586. The cubic root of 31980312 is about 317.4150871363.

The spelling of 31980312 in words is "thirty-one million, nine hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1627 1638 2184 2457 2808 3254 3276 4881 4914 6508 6552 9762 9828 11389 13016 14643 19524 19656 21151 22778 29286 34167 39048 42302 43929 45556 58572 63453 68334 84604 87858 91112 102501 117144 126906 136668 148057 169208 175716 190359 205002 253812 273336 296114 307503 351432 380718 410004 444171 507624 571077 592228 615006 761436 820008 888342 1142154 1184456 1230012 1332513 1522872 1776684 2284308 2460024 2665026 3553368 3997539 4568616 5330052 7995078 10660104 15990156 31980312