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31025040 = 2435257503
BaseRepresentation
bin111011001011…
…0011110010000
32011101020100120
41312112132100
530420300130
63024550240
7524465004
oct166263620
964336316
1031025040
1116570632
12a482380
136573717
144198704
152acc910
hex1d96790

31025040 has 80 divisors (see below), whose sum is σ = 96743808. Its totient is φ = 8224768.

The previous prime is 31025039. The next prime is 31025047. The reversal of 31025040 is 4052013.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31025047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61429 + ... + 61931.

Almost surely, 231025040 is an apocalyptic number.

31025040 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 31025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48371904).

31025040 is an abundant number, since it is smaller than the sum of its proper divisors (65718768).

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

31025040 is a wasteful number, since it uses less digits than its factorization.

31025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

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

The square root of 31025040 is about 5570.0125673108. The cubic root of 31025040 is about 314.2226233058. Note that the first 3 decimals are identical.

Adding to 31025040 its reverse (4052013), we get a palindrome (35077053).

The spelling of 31025040 in words is "thirty-one million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 503 514 771 1006 1028 1285 1509 1542 2012 2056 2515 2570 3018 3084 3855 4024 4112 5030 5140 6036 6168 7545 7710 8048 10060 10280 12072 12336 15090 15420 20120 20560 24144 30180 30840 40240 60360 61680 120720 129271 258542 387813 517084 646355 775626 1034168 1292710 1551252 1939065 2068336 2585420 3102504 3878130 5170840 6205008 7756260 10341680 15512520 31025040