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31980060 = 223257171493
BaseRepresentation
bin111100111111…
…1101000011100
32020011202101200
41321333220130
531141330220
63101235500
7535553220
oct171775034
966152350
1031980060
1117063102
12a862b90
136819318
144366780
152c1a890
hex1e7fa1c

31980060 has 144 divisors (see below), whose sum is σ = 117464256. Its totient is φ = 6875136.

The previous prime is 31980049. The next prime is 31980061. The reversal of 31980060 is 6008913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31980061) 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, 20674 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (815724).

Almost surely, 231980060 is an apocalyptic number.

31980060 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 31980060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58732128).

31980060 is an abundant number, since it is smaller than the sum of its proper divisors (85484196).

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

31980060 is a wasteful number, since it uses less digits than its factorization.

31980060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 31980060 is about 5655.0915111959. The cubic root of 31980060 is about 317.4142534066.

Adding to 31980060 its reverse (6008913), we get a palindrome (37988973).

The spelling of 31980060 in words is "thirty-one million, nine hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1493 1530 1785 2142 2380 2986 3060 3570 4284 4479 5355 5972 7140 7465 8958 10451 10710 13437 14930 17916 20902 21420 22395 25381 26874 29860 31353 41804 44790 50762 52255 53748 62706 67185 76143 89580 94059 101524 104510 125412 126905 134370 152286 156765 177667 188118 209020 228429 253810 268740 304572 313530 355334 376236 380715 456858 470295 507620 533001 627060 710668 761430 888335 913716 940590 1066002 1142145 1522860 1599003 1776670 1881180 2132004 2284290 2665005 3198006 3553340 4568580 5330010 6396012 7995015 10660020 15990030 31980060