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12370072 = 2311213983
BaseRepresentation
bin101111001100…
…000010011000
3212021110112211
4233030002120
511131320242
61121044504
7210100231
oct57140230
925243484
1012370072
116a89900
124186734
132741590
141900088
151145317
hexbcc098

12370072 has 48 divisors (see below), whose sum is σ = 27483120. Its totient is φ = 5184960.

The previous prime is 12370051. The next prime is 12370079. The reversal of 12370072 is 27007321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12370079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12093 + ... + 13075.

It is an arithmetic number, because the mean of its divisors is an integer number (572565).

Almost surely, 212370072 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 12370072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741560).

12370072 is an abundant number, since it is smaller than the sum of its proper divisors (15113048).

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

12370072 is a wasteful number, since it uses less digits than its factorization.

12370072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 12370072 is about 3517.1113147013. Note that the first 3 decimals coincide. The cubic root of 12370072 is about 231.2725430178.

Adding to 12370072 its reverse (27007321), we get a palindrome (39377393).

The spelling of 12370072 in words is "twelve million, three hundred seventy thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 983 1144 1573 1966 3146 3932 6292 7864 10813 12584 12779 21626 25558 43252 51116 86504 102232 118943 140569 237886 281138 475772 562276 951544 1124552 1546259 3092518 6185036 12370072