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121426560 = 273357027
BaseRepresentation
bin1110011110011…
…01001010000000
322110111002221000
413033031022000
5222041122220
620014332000
73003052203
oct717151200
9273432830
10121426560
11625a6632
12347ba000
131c206348
14121ab93a
15a9d8390
hex73cd280

121426560 has 128 divisors (see below), whose sum is σ = 430113600. Its totient is φ = 32375808.

The previous prime is 121426559. The next prime is 121426561. The reversal of 121426560 is 65624121.

121426560 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121426559) and next prime (121426561).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121426561) 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, 13767 + ... + 20793.

Almost surely, 2121426560 is an apocalyptic number.

121426560 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 121426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215056800).

121426560 is an abundant number, since it is smaller than the sum of its proper divisors (308687040).

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

121426560 is an equidigital number, since it uses as much as digits as its factorization.

121426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 121426560 is about 11019.3720329246. The cubic root of 121426560 is about 495.1892756422.

The spelling of 121426560 in words is "one hundred twenty-one million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 7027 8640 14054 17280 21081 28108 35135 42162 56216 63243 70270 84324 105405 112432 126486 140540 168648 189729 210810 224864 252972 281080 316215 337296 379458 421620 449728 505944 562160 632430 674592 758916 843240 899456 948645 1011888 1124320 1264860 1349184 1517832 1686480 1897290 2023776 2248640 2529720 2698368 3035664 3372960 3794580 4047552 4497280 5059440 6071328 6745920 7589160 8095104 10118880 12142656 13491840 15178320 20237760 24285312 30356640 40475520 60713280 121426560