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31089906 = 235175371
BaseRepresentation
bin111011010011…
…0010011110010
32011111112100000
41312212103302
530424334111
63030210430
7525155061
oct166462362
964445300
1031089906
1116605341
12a4b3a16
1365970c3
1441b41d8
152ae1c56
hex1da64f2

31089906 has 96 divisors (see below), whose sum is σ = 76422528. Its totient is φ = 9434880.

The previous prime is 31089899. The next prime is 31089911. The reversal of 31089906 is 60998013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437851 + ... + 437921.

It is an arithmetic number, because the mean of its divisors is an integer number (796068).

Almost surely, 231089906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31089906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211264).

31089906 is an abundant number, since it is smaller than the sum of its proper divisors (45332622).

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

31089906 is a wasteful number, since it uses less digits than its factorization.

31089906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 31089906 is about 5575.8323145518. The cubic root of 31089906 is about 314.4414591909.

The spelling of 31089906 in words is "thirty-one million, eighty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 71 81 102 106 142 153 159 162 213 243 306 318 426 459 477 486 639 901 918 954 1207 1278 1377 1431 1802 1917 2414 2703 2754 2862 3621 3763 3834 4131 4293 5406 5751 7242 7526 8109 8262 8586 10863 11289 11502 12879 16218 17253 21726 22578 24327 25758 32589 33867 34506 48654 63971 65178 67734 72981 97767 101601 127942 145962 191913 195534 203202 218943 293301 304803 383826 437886 575739 586602 609606 914409 1151478 1727217 1828818 3454434 5181651 10363302 15544953 31089906