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31140256 = 257435361
BaseRepresentation
bin111011011001…
…0100110100000
32011121002101211
41312302212200
530432442011
63031235504
7525454630
oct166624640
964532354
1031140256
111663a154
12a518b94
1365b3cb4
1441c86c0
152b01b21
hex1db29a0

31140256 has 96 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 12579840.

The previous prime is 31140253. The next prime is 31140257. The reversal of 31140256 is 65204113.

31140256 = T296 + T297 + ... + T596.

It is not an unprimeable number, because it can be changed into a prime (31140251) 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, 510466 + ... + 510526.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 231140256 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 31140256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

31140256 is an abundant number, since it is smaller than the sum of its proper divisors (43104992).

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

31140256 is a wasteful number, since it uses less digits than its factorization.

31140256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 31140256 is about 5580.3455090164. The cubic root of 31140256 is about 314.6111132737.

Adding to 31140256 its reverse (65204113), we get a palindrome (96344369).

The spelling of 31140256 in words is "thirty-one million, one hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 53 56 61 86 106 112 122 172 212 224 244 301 344 371 424 427 488 602 688 742 848 854 976 1204 1376 1484 1696 1708 1952 2279 2408 2623 2968 3233 3416 4558 4816 5246 5936 6466 6832 9116 9632 10492 11872 12932 13664 15953 18232 18361 20984 22631 25864 31906 36464 36722 41968 45262 51728 63812 72928 73444 83936 90524 103456 127624 139019 146888 181048 255248 278038 293776 362096 510496 556076 587552 724192 973133 1112152 1946266 2224304 3892532 4448608 7785064 15570128 31140256