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31011420 = 223511192473
BaseRepresentation
bin111011001001…
…1001001011100
32011100112200010
41312103021130
530414331140
63024403220
7524410206
oct166231134
964315603
1031011420
1116561380
12a476510
13656a46b
144193776
152ac8880
hex1d9325c

31011420 has 96 divisors (see below), whose sum is σ = 99751680. Its totient is φ = 7119360.

The previous prime is 31011391. The next prime is 31011437. The reversal of 31011420 is 2411013.

It is a happy number.

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 = 31011396 and 31011405.

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 31 ways as a sum of consecutive naturals, for example, 11304 + ... + 13776.

It is an arithmetic number, because the mean of its divisors is an integer number (1039080).

Almost surely, 231011420 is an apocalyptic number.

31011420 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 31011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49875840).

31011420 is an abundant number, since it is smaller than the sum of its proper divisors (68740260).

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

31011420 is a wasteful number, since it uses less digits than its factorization.

31011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31011420 is about 5568.7898146725. The cubic root of 31011420 is about 314.1766353066.

Adding to 31011420 its reverse (2411013), we get a palindrome (33422433).

The spelling of 31011420 in words is "thirty-one million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2473 2508 3135 4180 4946 6270 7419 9892 12365 12540 14838 24730 27203 29676 37095 46987 49460 54406 74190 81609 93974 108812 136015 140961 148380 163218 187948 234935 272030 281922 326436 408045 469870 516857 544060 563844 704805 816090 939740 1033714 1409610 1550571 1632180 2067428 2584285 2819220 3101142 5168570 6202284 7752855 10337140 15505710 31011420