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201108480 = 2103513093
BaseRepresentation
bin10111111110010…
…10110000000000
3112000102100222020
423333022300000
5402440432410
631542241440
74661252046
oct1377126000
9460370866
10201108480
11a357a861
1257426280
1332884a01
141c9d0396
15129c7a70
hexbfcac00

201108480 has 88 divisors (see below), whose sum is σ = 643282032. Its totient is φ = 53624832.

The previous prime is 201108443. The next prime is 201108497. The reversal of 201108480 is 84801102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201108480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8814 + ... + 21906.

Almost surely, 2201108480 is an apocalyptic number.

201108480 is a gapful number since it is divisible by the number (20) 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 201108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321641016).

201108480 is an abundant number, since it is smaller than the sum of its proper divisors (442173552).

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

201108480 is a wasteful number, since it uses less digits than its factorization.

201108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 201108480 is about 14181.2721573207. The cubic root of 201108480 is about 585.8819628144.

Adding to 201108480 its reverse (84801102), we get a palindrome (285909582).

The spelling of 201108480 in words is "two hundred one million, one hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 13093 15360 26186 39279 52372 65465 78558 104744 130930 157116 196395 209488 261860 314232 392790 418976 523720 628464 785580 837952 1047440 1256928 1571160 1675904 2094880 2513856 3142320 3351808 4189760 5027712 6284640 6703616 8379520 10055424 12569280 13407232 16759040 20110848 25138560 33518080 40221696 50277120 67036160 100554240 201108480