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12031040 = 265741131
BaseRepresentation
bin101101111001…
…010001000000
3211122020111002
4231321101000
511034443130
61105511132
7204155630
oct55712100
924566432
1012031040
11687810a
1240424a8
132653178
1418526c0
1510c9b45
hexb79440

12031040 has 112 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 3993600.

The previous prime is 12031039. The next prime is 12031049. The reversal of 12031040 is 4013021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (12031049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91775 + ... + 91905.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 212031040 is an apocalyptic number.

12031040 is a gapful number since it is divisible by the number (10) 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 12031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

12031040 is an abundant number, since it is smaller than the sum of its proper divisors (21765184).

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

12031040 is a wasteful number, since it uses less digits than its factorization.

12031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12031040 is about 3468.5789597471. The cubic root of 12031040 is about 229.1400781641.

Adding to 12031040 its reverse (4013021), we get a palindrome (16044061).

The spelling of 12031040 in words is "twelve million, thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 131 140 160 164 205 224 262 280 287 320 328 410 448 524 560 574 655 656 820 917 1048 1120 1148 1310 1312 1435 1640 1834 2096 2240 2296 2620 2624 2870 3280 3668 4192 4585 4592 5240 5371 5740 6560 7336 8384 9170 9184 10480 10742 11480 13120 14672 18340 18368 20960 21484 22960 26855 29344 36680 37597 41920 42968 45920 53710 58688 73360 75194 85936 91840 107420 146720 150388 171872 187985 214840 293440 300776 343744 375970 429680 601552 751940 859360 1203104 1503880 1718720 2406208 3007760 6015520 12031040