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31054140 = 223251323577
BaseRepresentation
bin111011001110…
…1100100111100
32011102201021100
41312131210330
530422213030
63025333100
7524645565
oct166354474
964381240
1031054140
1116590487
12a497190
136583a40
1441a516c
152ad6360
hex1d9d93c

31054140 has 144 divisors (see below), whose sum is σ = 106037568. Its totient is φ = 7299072.

The previous prime is 31054109. The next prime is 31054141. The reversal of 31054140 is 4145013.

It is a happy number.

It is a super-2 number, since 2×310541402 = 1928719222279200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31054141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53532 + ... + 54108.

It is an arithmetic number, because the mean of its divisors is an integer number (736372).

Almost surely, 231054140 is an apocalyptic number.

31054140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53018784).

31054140 is an abundant number, since it is smaller than the sum of its proper divisors (74983428).

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

31054140 is a wasteful number, since it uses less digits than its factorization.

31054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31054140 is about 5572.6241574325. The cubic root of 31054140 is about 314.3208345247.

Adding to 31054140 its reverse (4145013), we get a palindrome (35199153).

The spelling of 31054140 in words is "thirty-one million, fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 577 585 598 690 780 828 897 1035 1154 1170 1196 1380 1495 1731 1794 2070 2308 2340 2691 2885 2990 3462 3588 4140 4485 5193 5382 5770 5980 6924 7501 8655 8970 10386 10764 11540 13271 13455 15002 17310 17940 20772 22503 25965 26542 26910 30004 34620 37505 39813 45006 51930 53084 53820 66355 67509 75010 79626 90012 103860 112515 119439 132710 135018 150020 159252 172523 199065 225030 238878 265420 270036 337545 345046 398130 450060 477756 517569 597195 675090 690092 796260 862615 1035138 1194390 1350180 1552707 1725230 2070276 2388780 2587845 3105414 3450460 5175690 6210828 7763535 10351380 15527070 31054140