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31204080 = 24325192281
BaseRepresentation
bin111011100001…
…0001011110000
32011201022221200
41313002023300
530442012310
63032451200
7526141665
oct167021360
964638850
1031204080
11166830a6
12a549b00
13660706b
144203a6c
152b159c0
hex1dc22f0

31204080 has 120 divisors (see below), whose sum is σ = 110357520. Its totient is φ = 7879680.

The previous prime is 31204067. The next prime is 31204091. The reversal of 31204080 is 8040213.

It is a happy number.

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

It is a super-3 number, since 3×312040803 (a number of 23 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12540 + ... + 14820.

It is an arithmetic number, because the mean of its divisors is an integer number (919646).

Almost surely, 231204080 is an apocalyptic number.

31204080 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 31204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55178760).

31204080 is an abundant number, since it is smaller than the sum of its proper divisors (79153440).

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

31204080 is a wasteful number, since it uses less digits than its factorization.

31204080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

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

The square root of 31204080 is about 5586.0612241543. The cubic root of 31204080 is about 314.8259053105.

Adding to 31204080 its reverse (8040213), we get a palindrome (39244293).

The spelling of 31204080 in words is "thirty-one million, two hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2281 2736 3420 4560 4562 6840 6843 9124 11405 13680 13686 18248 20529 22810 27372 34215 36496 41058 43339 45620 54744 68430 82116 86678 91240 102645 109488 130017 136860 164232 173356 182480 205290 216695 260034 273720 328464 346712 390051 410580 433390 520068 547440 650085 693424 780102 821160 866780 1040136 1300170 1560204 1642320 1733560 1950255 2080272 2600340 3120408 3467120 3900510 5200680 6240816 7801020 10401360 15602040 31204080