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31540080 = 24351113919
BaseRepresentation
bin111100001010…
…0001101110000
32012100101212010
41320110031300
531033240310
63044002520
7532041405
oct170241560
965311763
1031540080
1116892590
12a690440
1366c3c90
1442902ac
152b80320
hex1e14370

31540080 has 160 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 7050240.

The previous prime is 31540063. The next prime is 31540099. The reversal of 31540080 is 8004513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33861 + ... + 34779.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 231540080 is an apocalyptic number.

31540080 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 31540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

31540080 is an abundant number, since it is smaller than the sum of its proper divisors (83452560).

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

31540080 is a wasteful number, since it uses less digits than its factorization.

31540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 31540080 is about 5616.0555552808. The cubic root of 31540080 is about 315.9518700398.

Adding to 31540080 its reverse (8004513), we get a palindrome (39544593).

The spelling of 31540080 in words is "thirty-one million, five hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 919 1040 1144 1320 1430 1560 1716 1838 2145 2288 2640 2757 2860 3120 3432 3676 4290 4595 5514 5720 6864 7352 8580 9190 10109 11028 11440 11947 13785 14704 17160 18380 20218 22056 23894 27570 30327 34320 35841 36760 40436 44112 47788 50545 55140 59735 60654 71682 73520 80872 95576 101090 110280 119470 121308 131417 143364 151635 161744 179205 191152 202180 220560 238940 242616 262834 286728 303270 358410 394251 404360 477880 485232 525668 573456 606540 657085 716820 788502 808720 955760 1051336 1213080 1314170 1433640 1577004 1971255 2102672 2426160 2628340 2867280 3154008 3942510 5256680 6308016 7885020 10513360 15770040 31540080