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12275520 = 263519673
BaseRepresentation
bin101110110100…
…111101000000
3212002122211220
4232310331000
511120304040
61115035040
7206224455
oct56647500
925078756
1012275520
116a24864
12413ba80
13270a52a
1418b782c
1511272d0
hexbb4f40

12275520 has 112 divisors (see below), whose sum is σ = 41087040. Its totient is φ = 3096576.

The previous prime is 12275509. The next prime is 12275567. The reversal of 12275520 is 2557221.

12275520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17904 + ... + 18576.

Almost surely, 212275520 is an apocalyptic number.

12275520 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 12275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543520).

12275520 is an abundant number, since it is smaller than the sum of its proper divisors (28811520).

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

12275520 is a wasteful number, since it uses less digits than its factorization.

12275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 12275520 is about 3503.6438175134. The cubic root of 12275520 is about 230.6817829350.

It can be divided in two parts, 1227 and 5520, that multiplied together give a triangular number (6773040 = T3680).

The spelling of 12275520 in words is "twelve million, two hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 673 760 912 960 1140 1216 1346 1520 1824 2019 2280 2692 3040 3365 3648 4038 4560 5384 6080 6730 8076 9120 10095 10768 12787 13460 16152 18240 20190 21536 25574 26920 32304 38361 40380 43072 51148 53840 63935 64608 76722 80760 102296 107680 127870 129216 153444 161520 191805 204592 215360 255740 306888 323040 383610 409184 511480 613776 646080 767220 818368 1022960 1227552 1534440 2045920 2455104 3068880 4091840 6137760 12275520