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12196480 = 275171959
BaseRepresentation
bin101110100001…
…101010000000
3211221122102111
4232201222000
511110241410
61113225104
7205445152
oct56415200
924848374
1012196480
11698043a
124102194
1326b056a
141896ad2
15110db8a
hexba1a80

12196480 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 4276224.

The previous prime is 12196469. The next prime is 12196517. The reversal of 12196480 is 8469121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 206691 + ... + 206749.

Almost surely, 212196480 is an apocalyptic number.

12196480 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 12196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

12196480 is an abundant number, since it is smaller than the sum of its proper divisors (20851520).

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

12196480 is a wasteful number, since it uses less digits than its factorization.

12196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12196480 is about 3492.3459164292. The cubic root of 12196480 is about 230.1856094676.

The spelling of 12196480 in words is "twelve million, one hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 59 64 68 76 80 85 95 118 128 136 152 160 170 190 236 272 295 304 320 323 340 380 472 544 590 608 640 646 680 760 944 1003 1088 1121 1180 1216 1292 1360 1520 1615 1888 2006 2176 2242 2360 2432 2584 2720 3040 3230 3776 4012 4484 4720 5015 5168 5440 5605 6080 6460 7552 8024 8968 9440 10030 10336 10880 11210 12160 12920 16048 17936 18880 19057 20060 20672 22420 25840 32096 35872 37760 38114 40120 41344 44840 51680 64192 71744 76228 80240 89680 95285 103360 128384 143488 152456 160480 179360 190570 206720 304912 320960 358720 381140 609824 641920 717440 762280 1219648 1524560 2439296 3049120 6098240 12196480