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31060640 = 25513109137
BaseRepresentation
bin111011001111…
…1001010100000
32011110001012002
41312133022200
530422420030
63025423132
7525003542
oct166371240
964401162
1031060640
1116595356
12a49aaa8
1365869a0
1441a7692
152ad8245
hex1d9f2a0

31060640 has 96 divisors (see below), whose sum is σ = 80332560. Its totient is φ = 11280384.

The previous prime is 31060633. The next prime is 31060669. The reversal of 31060640 is 4606013.

It can be written as a sum of positive squares in 8 ways, for example, as 11806096 + 19254544 = 3436^2 + 4388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226652 + ... + 226788.

Almost surely, 231060640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40166280).

31060640 is an abundant number, since it is smaller than the sum of its proper divisors (49271920).

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

31060640 is a wasteful number, since it uses less digits than its factorization.

31060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 31060640 is about 5573.2073350989. The cubic root of 31060640 is about 314.3427633550.

Adding to 31060640 its reverse (4606013), we get a palindrome (35666653).

The spelling of 31060640 in words is "thirty-one million, sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 109 130 137 160 208 218 260 274 416 436 520 545 548 685 872 1040 1090 1096 1370 1417 1744 1781 2080 2180 2192 2740 2834 3488 3562 4360 4384 5480 5668 7085 7124 8720 8905 10960 11336 14170 14248 14933 17440 17810 21920 22672 28340 28496 29866 35620 45344 56680 56992 59732 71240 74665 113360 119464 142480 149330 194129 226720 238928 284960 298660 388258 477856 597320 776516 970645 1194640 1553032 1941290 2389280 3106064 3882580 6212128 7765160 15530320 31060640