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31240080 = 243551607
BaseRepresentation
bin111011100101…
…0111110010000
32011210011100000
41313022332100
530444140310
63033330000
7526351644
oct167127620
964704300
1031240080
11166a8153
12a566900
13661a571
144212c24
152b214c0
hex1dcaf90

31240080 has 120 divisors (see below), whose sum is σ = 108868032. Its totient is φ = 8325504.

The previous prime is 31240061. The next prime is 31240109. The reversal of 31240080 is 8004213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18637 + ... + 20243.

Almost surely, 231240080 is an apocalyptic number.

31240080 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 31240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54434016).

31240080 is an abundant number, since it is smaller than the sum of its proper divisors (77627952).

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

31240080 is a wasteful number, since it uses less digits than its factorization.

31240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31240080 is about 5589.2826015509. The cubic root of 31240080 is about 314.9469298349.

Adding to 31240080 its reverse (8004213), we get a palindrome (39244293).

The spelling of 31240080 in words is "thirty-one million, two hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1607 1620 1944 2160 2430 3214 3240 3888 4821 4860 6428 6480 8035 9642 9720 12856 14463 16070 19284 19440 24105 25712 28926 32140 38568 43389 48210 57852 64280 72315 77136 86778 96420 115704 128560 130167 144630 173556 192840 216945 231408 260334 289260 347112 385680 390501 433890 520668 578520 650835 694224 781002 867780 1041336 1157040 1301670 1562004 1735560 1952505 2082672 2603340 3124008 3471120 3905010 5206680 6248016 7810020 10413360 15620040 31240080