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31400520 = 23352331367
BaseRepresentation
bin111011111001…
…0001001001000
32012002022102020
41313302021020
531014304040
63041004440
7530620464
oct167621110
965068366
1031400520
11167a7748
12a623720
1366755b8
1442554a4
152b53cd0
hex1df2248

31400520 has 128 divisors (see below), whose sum is σ = 101744640. Its totient is φ = 7729920.

The previous prime is 31400519. The next prime is 31400527. The reversal of 31400520 is 2500413.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31400520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31400527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85377 + ... + 85743.

It is an arithmetic number, because the mean of its divisors is an integer number (794880).

Almost surely, 231400520 is an apocalyptic number.

31400520 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 31400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50872320).

31400520 is an abundant number, since it is smaller than the sum of its proper divisors (70344120).

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

31400520 is a wasteful number, since it uses less digits than its factorization.

31400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 31400520 is about 5603.6166892463. The cubic root of 31400520 is about 315.4851682001.

Adding to 31400520 its reverse (2500413), we get a palindrome (33900933).

The spelling of 31400520 in words is "thirty-one million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 276 310 345 367 372 460 465 552 620 690 713 734 744 920 930 1101 1240 1380 1426 1468 1835 1860 2139 2202 2760 2852 2936 3565 3670 3720 4278 4404 5505 5704 7130 7340 8441 8556 8808 10695 11010 11377 14260 14680 16882 17112 21390 22020 22754 25323 28520 33764 34131 42205 42780 44040 45508 50646 56885 67528 68262 84410 85560 91016 101292 113770 126615 136524 168820 170655 202584 227540 253230 261671 273048 337640 341310 455080 506460 523342 682620 785013 1012920 1046684 1308355 1365240 1570026 2093368 2616710 3140052 3925065 5233420 6280104 7850130 10466840 15700260 31400520