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215448960 = 2735112213
BaseRepresentation
bin11001101011101…
…11110110000000
3120000101221102010
430311313312000
5420123331320
633213452520
75224200036
oct1465676600
9500357363
10215448960
11100684aa1
12601a1140
13358360bc
1420884556
1513dabae0
hexcd77d80

215448960 has 64 divisors (see below), whose sum is σ = 686749680. Its totient is φ = 57452544.

The previous prime is 215448953. The next prime is 215448971. The reversal of 215448960 is 69844512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54187 + ... + 58026.

Almost surely, 2215448960 is an apocalyptic number.

215448960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215448960 is an abundant number, since it is smaller than the sum of its proper divisors (471300720).

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

215448960 is a wasteful number, since it uses less digits than its factorization.

215448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235 (or 112223 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 215448960 is about 14678.1797236578. The cubic root of 215448960 is about 599.4893432839.

The spelling of 215448960 in words is "two hundred fifteen million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 112213 224426 336639 448852 561065 673278 897704 1122130 1346556 1683195 1795408 2244260 2693112 3366390 3590816 4488520 5386224 6732780 7181632 8977040 10772448 13465560 14363264 17954080 21544896 26931120 35908160 43089792 53862240 71816320 107724480 215448960