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31442620 = 225111311091
BaseRepresentation
bin111011111110…
…0011010111100
32012011110011111
41313330122330
531022130440
63041531404
7531154306
oct167743274
965143144
1031442620
1116826340
12a643b64
13668b801
144266976
152b614ea
hex1dfc6bc

31442620 has 48 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 11336000.

The previous prime is 31442617. The next prime is 31442623. The reversal of 31442620 is 2624413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31442617) and next prime (31442623).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31442591 and 31442600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28275 + ... + 29365.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 231442620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

31442620 is an abundant number, since it is smaller than the sum of its proper divisors (41205956).

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

31442620 is a wasteful number, since it uses less digits than its factorization.

31442620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 31442620 is about 5607.3719334462. The cubic root of 31442620 is about 315.6260999864.

The spelling of 31442620 in words is "thirty-one million, four hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1091 1310 1441 2182 2620 2882 4364 5455 5764 7205 10910 12001 14410 21820 24002 28820 48004 60005 120010 142921 240020 285842 571684 714605 1429210 1572131 2858420 3144262 6288524 7860655 15721310 31442620