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31015020 = 22351074831
BaseRepresentation
bin111011001010…
…0000001101100
32011100201121110
41312110001230
530414440040
63024432020
7524423541
oct166240154
964321543
1031015020
1116564053
12a478610
13656bcaa
144194bc8
152ac9980
hex1d9406c

31015020 has 48 divisors (see below), whose sum is σ = 87671808. Its totient is φ = 8191680.

The previous prime is 31014967. The next prime is 31015043. The reversal of 31015020 is 2051013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31014987 and 31015005.

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 15 ways as a sum of consecutive naturals, for example, 4005 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (1826496).

Almost surely, 231015020 is an apocalyptic number.

31015020 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 31015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43835904).

31015020 is an abundant number, since it is smaller than the sum of its proper divisors (56656788).

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

31015020 is a wasteful number, since it uses less digits than its factorization.

31015020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 31015020 is about 5569.1130353046. The cubic root of 31015020 is about 314.1887920338.

Adding to 31015020 its reverse (2051013), we get a palindrome (33066033).

The spelling of 31015020 in words is "thirty-one million, fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 4831 6420 9662 14493 19324 24155 28986 48310 57972 72465 96620 144930 289860 516917 1033834 1550751 2067668 2584585 3101502 5169170 6203004 7753755 10338340 15507510 31015020