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12102240 = 2535191327
BaseRepresentation
bin101110001010…
…101001100000
3211202212011010
4232022221200
511044232430
61111220520
7204603333
oct56125140
924685133
1012102240
116916657
124077740
1326796b7
14187061a
1510e0cb0
hexb8aa60

12102240 has 96 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 3055104.

The previous prime is 12102239. The next prime is 12102241. The reversal of 12102240 is 4220121.

It is an interprime number because it is at equal distance from previous prime (12102239) and next prime (12102241).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102241) 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, 8457 + ... + 9783.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 212102240 is an apocalyptic number.

12102240 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 12102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

12102240 is an abundant number, since it is smaller than the sum of its proper divisors (28056480).

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

12102240 is a wasteful number, since it uses less digits than its factorization.

12102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12102240 is about 3478.8273886469. The cubic root of 12102240 is about 229.5912083301.

Adding to 12102240 its reverse (4220121), we get a palindrome (16322361).

The spelling of 12102240 in words is "twelve million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1327 1520 1824 2280 2654 3040 3981 4560 5308 6635 7962 9120 10616 13270 15924 19905 21232 25213 26540 31848 39810 42464 50426 53080 63696 75639 79620 100852 106160 126065 127392 151278 159240 201704 212320 252130 302556 318480 378195 403408 504260 605112 636960 756390 806816 1008520 1210224 1512780 2017040 2420448 3025560 4034080 6051120 12102240