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31031040 = 28358081
BaseRepresentation
bin111011001011…
…1111100000000
32011101112120210
41312113330000
530420443130
63025034120
7524521335
oct166277400
964345523
1031031040
1116575097
12a485940
136576381
14419a98c
152ace5b0
hex1d97f00

31031040 has 72 divisors (see below), whose sum is σ = 99117648. Its totient is φ = 8273920.

The previous prime is 31031029. The next prime is 31031051. The reversal of 31031040 is 4013013.

It is an interprime number because it is at equal distance from previous prime (31031029) and next prime (31031051).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (1376634).

Almost surely, 231031040 is an apocalyptic number.

31031040 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 31031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49558824).

31031040 is an abundant number, since it is smaller than the sum of its proper divisors (68086608).

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

31031040 is an equidigital number, since it uses as much as digits as its factorization.

31031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8105 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31031040 is about 5570.5511396988. The cubic root of 31031040 is about 314.2428780658.

Adding to 31031040 its reverse (4013013), we get a palindrome (35044053).

The spelling of 31031040 in words is "thirty-one million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 8081 16162 24243 32324 40405 48486 64648 80810 96972 121215 129296 161620 193944 242430 258592 323240 387888 484860 517184 646480 775776 969720 1034368 1292960 1551552 1939440 2068736 2585920 3103104 3878880 5171840 6206208 7757760 10343680 15515520 31031040