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201163440 = 24352633187
BaseRepresentation
bin10111111110110…
…00001010110000
3112000112011100210
423333120022300
5402444212230
631543344120
74661601222
oct1377301260
9460464323
10201163440
11a3608085
1257452040
13328a3a2a
141ca06412
15129d8eb0
hexbfd82b0

201163440 has 80 divisors (see below), whose sum is σ = 626174208. Its totient is φ = 53422848.

The previous prime is 201163427. The next prime is 201163453. The reversal of 201163440 is 44361102.

It is an interprime number because it is at equal distance from previous prime (201163427) and next prime (201163453).

It is a tau number, because it is divible by the number of its divisors (80).

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, 61527 + ... + 64713.

Almost surely, 2201163440 is an apocalyptic number.

201163440 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 201163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313087104).

201163440 is an abundant number, since it is smaller than the sum of its proper divisors (425010768).

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

201163440 is a wasteful number, since it uses less digits than its factorization.

201163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 201163440 is about 14183.2097918631. The cubic root of 201163440 is about 585.9353289377.

The spelling of 201163440 in words is "two hundred one million, one hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 526 789 1052 1315 1578 2104 2630 3156 3187 3945 4208 5260 6312 6374 7890 9561 10520 12624 12748 15780 15935 19122 21040 25496 31560 31870 38244 47805 50992 63120 63740 76488 95610 127480 152976 191220 254960 382440 764880 838181 1676362 2514543 3352724 4190905 5029086 6705448 8381810 10058172 12572715 13410896 16763620 20116344 25145430 33527240 40232688 50290860 67054480 100581720 201163440