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12669760 = 265172137
BaseRepresentation
bin110000010101…
…001101000000
3212211200122101
4300111031000
511220413020
61131320144
7212456035
oct60251500
925750571
1012669760
117173a84
1242b0054
132817acc
14197b38c
1511a400a
hexc15340

12669760 has 84 divisors (see below), whose sum is σ = 32282892. Its totient is φ = 4734976.

The previous prime is 12669707. The next prime is 12669791. The reversal of 12669760 is 6796621.

It can be written as a sum of positive squares in 6 ways, for example, as 891136 + 11778624 = 944^2 + 3432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92412 + ... + 92548.

Almost surely, 212669760 is an apocalyptic number.

12669760 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 12669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141446).

12669760 is an abundant number, since it is smaller than the sum of its proper divisors (19613132).

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

12669760 is a wasteful number, since it uses less digits than its factorization.

12669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 12669760 is about 3559.4606332983. The cubic root of 12669760 is about 233.1253293701.

It can be divided in two parts, 1266 and 9760, that added together give a triangular number (11026 = T148).

The spelling of 12669760 in words is "twelve million, six hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 137 160 170 272 274 289 320 340 544 548 578 680 685 1088 1096 1156 1360 1370 1445 2192 2312 2329 2720 2740 2890 4384 4624 4658 5440 5480 5780 8768 9248 9316 10960 11560 11645 18496 18632 21920 23120 23290 37264 39593 43840 46240 46580 74528 79186 92480 93160 149056 158372 186320 197965 316744 372640 395930 633488 745280 791860 1266976 1583720 2533952 3167440 6334880 12669760