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31055640 = 23357113361
BaseRepresentation
bin111011001110…
…1111100011000
32011102210022220
41312131330120
530422240030
63025344040
7524653140
oct166357430
964383286
1031055640
1116591620
12a498020
136584625
1441a5920
152ad6a10
hex1d9df18

31055640 has 128 divisors (see below), whose sum is σ = 116190720. Its totient is φ = 6451200.

The previous prime is 31055621. The next prime is 31055641. The reversal of 31055640 is 4655013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31055640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31055641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7560 + ... + 10920.

It is an arithmetic number, because the mean of its divisors is an integer number (907740).

Almost surely, 231055640 is an apocalyptic number.

31055640 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 31055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58095360).

31055640 is an abundant number, since it is smaller than the sum of its proper divisors (85135080).

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

31055640 is a wasteful number, since it uses less digits than its factorization.

31055640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 31055640 is about 5572.7587423107. The cubic root of 31055640 is about 314.3258952956.

The spelling of 31055640 in words is "thirty-one million, fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 3361 4620 6722 9240 10083 13444 16805 20166 23527 26888 33610 36971 40332 47054 50415 67220 70581 73942 80664 94108 100830 110913 117635 134440 141162 147884 184855 188216 201660 221826 235270 258797 282324 295768 352905 369710 403320 443652 470540 517594 554565 564648 705810 739420 776391 887304 941080 1035188 1109130 1293985 1411620 1478840 1552782 2070376 2218260 2587970 2823240 3105564 3881955 4436520 5175940 6211128 7763910 10351880 15527820 31055640