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31061040 = 24351723331
BaseRepresentation
bin111011001111…
…1010000110000
32011110001201220
41312133100300
530422423130
63025425040
7525004653
oct166372060
964401656
1031061040
111659568a
12a49b180
136586c1a
1441a789a
152ad8410
hex1d9f430

31061040 has 160 divisors (see below), whose sum is σ = 106707456. Its totient is φ = 7434240.

The previous prime is 31061003. The next prime is 31061047. The reversal of 31061040 is 4016013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (31061047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93675 + ... + 94005.

Almost surely, 231061040 is an apocalyptic number.

31061040 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 31061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53353728).

31061040 is an abundant number, since it is smaller than the sum of its proper divisors (75646416).

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

31061040 is a wasteful number, since it uses less digits than its factorization.

31061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31061040 is about 5573.2432209621. The cubic root of 31061040 is about 314.3441127215.

Adding to 31061040 its reverse (4016013), we get a palindrome (35077053).

The spelling of 31061040 in words is "thirty-one million, sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 40 46 48 51 60 68 69 80 85 92 102 115 120 136 138 170 184 204 230 240 255 272 276 331 340 345 368 391 408 460 510 552 662 680 690 782 816 920 993 1020 1104 1173 1324 1360 1380 1564 1655 1840 1955 1986 2040 2346 2648 2760 3128 3310 3910 3972 4080 4692 4965 5296 5520 5627 5865 6256 6620 7613 7820 7944 9384 9930 11254 11730 13240 15226 15640 15888 16881 18768 19860 22508 22839 23460 26480 28135 30452 31280 33762 38065 39720 45016 45678 46920 56270 60904 67524 76130 79440 84405 90032 91356 93840 112540 114195 121808 129421 135048 152260 168810 182712 225080 228390 258842 270096 304520 337620 365424 388263 450160 456780 517684 609040 647105 675240 776526 913560 1035368 1294210 1350480 1553052 1827120 1941315 2070736 2588420 3106104 3882630 5176840 6212208 7765260 10353680 15530520 31061040