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121666560 = 21035892
BaseRepresentation
bin1110100000001…
…11110000000000
322110221022010220
413100013300000
5222121312220
620023423040
73005102001
oct720076000
9273838126
10121666560
116274a984
12348b4a80
131c28b662
14122311a8
15aa34540
hex7407c00

121666560 has 132 divisors (see below), whose sum is σ = 393564408. Its totient is φ = 32079872.

The previous prime is 121666547. The next prime is 121666579. The reversal of 121666560 is 65666121.

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, 1366996 + ... + 1367084.

Almost surely, 2121666560 is an apocalyptic number.

121666560 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 121666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196782204).

121666560 is an abundant number, since it is smaller than the sum of its proper divisors (271897848).

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

121666560 is an frugal number, since it uses more digits than its factorization.

121666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 121666560 is about 11030.2565699987. The cubic root of 121666560 is about 495.5153086852.

It can be divided in two parts, 1216 and 66560, that added together give a palindrome (67776).

The spelling of 121666560 in words is "one hundred twenty-one million, six hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 384 445 480 512 534 640 712 768 890 960 1024 1068 1280 1335 1424 1536 1780 1920 2136 2560 2670 2848 3072 3560 3840 4272 5120 5340 5696 7120 7680 7921 8544 10680 11392 14240 15360 15842 17088 21360 22784 23763 28480 31684 34176 39605 42720 45568 47526 56960 63368 68352 79210 85440 91136 95052 113920 118815 126736 136704 158420 170880 190104 227840 237630 253472 273408 316840 341760 380208 455680 475260 506944 633680 683520 760416 950520 1013888 1267360 1367040 1520832 1901040 2027776 2534720 3041664 3802080 4055552 5069440 6083328 7604160 8111104 10138880 12166656 15208320 20277760 24333312 30416640 40555520 60833280 121666560