Search a number
-
+
31060680 = 23357103359
BaseRepresentation
bin111011001111…
…1001011001000
32011110001020120
41312133023020
530422420210
63025423240
7525003630
oct166371310
964401216
1031060680
1116595392
12a49ab20
136586a01
1441a76c0
152ad8270
hex1d9f2c8

31060680 has 128 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 7011072.

The previous prime is 31060669. The next prime is 31060681. The reversal of 31060680 is 8606013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31060680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31060681) 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, 86341 + ... + 86699.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 231060680 is an apocalyptic number.

31060680 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 31060680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

31060680 is an abundant number, since it is smaller than the sum of its proper divisors (76766520).

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

31060680 is a wasteful number, since it uses less digits than its factorization.

31060680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31060680 is about 5573.2109236956. The cubic root of 31060680 is about 314.3428982922.

Adding to 31060680 its reverse (8606013), we get a palindrome (39666693).

The spelling of 31060680 in words is "thirty-one million, sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 359 412 420 515 618 718 721 824 840 1030 1077 1236 1436 1442 1545 1795 2060 2154 2163 2472 2513 2872 2884 3090 3590 3605 4120 4308 4326 5026 5385 5768 6180 7180 7210 7539 8616 8652 10052 10770 10815 12360 12565 14360 14420 15078 17304 20104 21540 21630 25130 28840 30156 36977 37695 43080 43260 50260 60312 73954 75390 86520 100520 110931 147908 150780 184885 221862 258839 295816 301560 369770 443724 517678 554655 739540 776517 887448 1035356 1109310 1294195 1479080 1553034 2070712 2218620 2588390 3106068 3882585 4437240 5176780 6212136 7765170 10353560 15530340 31060680