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31141026 = 232759271
BaseRepresentation
bin111011011001…
…0110010100010
32011121010110100
41312302302202
530433003101
63031243230
7525460110
oct166626242
964533410
1031141026
111663a794
12a519516
1365b4457
1441c8ab0
152b01e86
hex1db2ca2

31141026 has 72 divisors (see below), whose sum is σ = 79545024. Its totient is φ = 8623440.

The previous prime is 31141007. The next prime is 31141067. The reversal of 31141026 is 62014113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 438571 + ... + 438641.

It is an arithmetic number, because the mean of its divisors is an integer number (1104792).

Almost surely, 231141026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31141026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39772512).

31141026 is an abundant number, since it is smaller than the sum of its proper divisors (48403998).

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

31141026 is a wasteful number, since it uses less digits than its factorization.

31141026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31141026 is about 5580.4145007338. The cubic root of 31141026 is about 314.6137063647.

Adding to 31141026 its reverse (62014113), we get a palindrome (93155139).

The spelling of 31141026 in words is "thirty-one million, one hundred forty-one thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 71 118 126 142 177 213 354 413 426 497 531 639 826 994 1062 1239 1278 1491 2478 2982 3481 3717 4189 4473 6962 7434 8378 8946 10443 12567 20886 24367 25134 29323 31329 37701 48734 58646 62658 73101 75402 87969 146202 175938 219303 247151 263907 438606 494302 527814 741453 1482906 1730057 2224359 3460114 4448718 5190171 10380342 15570513 31141026