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31071840 = 2535193407
BaseRepresentation
bin111011010000…
…1111001100000
32011110121112220
41312201321200
530423244330
63025551040
7525051312
oct166417140
964417486
1031071840
11165a2808
12a4a5480
13658bb07
1441ab7b2
152adb710
hex1da1e60

31071840 has 96 divisors (see below), whose sum is σ = 103057920. Its totient is φ = 7847424.

The previous prime is 31071839. The next prime is 31071851. The reversal of 31071840 is 4817013.

It is a tau number, because it is divible by the number of its divisors (96).

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 31071840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7417 + ... + 10823.

It is an arithmetic number, because the mean of its divisors is an integer number (1073520).

Almost surely, 231071840 is an apocalyptic number.

31071840 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 31071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51528960).

31071840 is an abundant number, since it is smaller than the sum of its proper divisors (71986080).

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

31071840 is a wasteful number, since it uses less digits than its factorization.

31071840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 31071840 is about 5574.2120519406. The cubic root of 31071840 is about 314.3805412401.

Adding to 31071840 its reverse (4817013), we get a palindrome (35888853).

The spelling of 31071840 in words is "thirty-one million, seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 3407 4560 6814 9120 10221 13628 17035 20442 27256 34070 40884 51105 54512 64733 68140 81768 102210 109024 129466 136280 163536 194199 204420 258932 272560 323665 327072 388398 408840 517864 545120 647330 776796 817680 970995 1035728 1294660 1553592 1635360 1941990 2071456 2589320 3107184 3883980 5178640 6214368 7767960 10357280 15535920 31071840