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201540152 = 231173137229
BaseRepresentation
bin11000000001101…
…00001000111000
3112001020022010002
430000310020320
5403043241102
631555412132
74665030422
oct1400641070
9461208102
10201540152
11a3845110
12575b4048
13329a6338
141caa3812
1512a60902
hexc034238

201540152 has 64 divisors (see below), whose sum is σ = 422776800. Its totient is φ = 89303040.

The previous prime is 201540121. The next prime is 201540161. The reversal of 201540152 is 251045102.

It is a congruent number.

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, 879974 + ... + 880202.

Almost surely, 2201540152 is an apocalyptic number.

201540152 is a gapful number since it is divisible by the number (22) 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 201540152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211388400).

201540152 is an abundant number, since it is smaller than the sum of its proper divisors (221236648).

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

201540152 is a wasteful number, since it uses less digits than its factorization.

201540152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 201540152 is about 14196.4837900094. The cubic root of 201540152 is about 586.3008546498.

Adding to 201540152 its reverse (251045102), we get a palindrome (452585254).

The spelling of 201540152 in words is "two hundred one million, five hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 229 274 292 458 548 584 803 916 1096 1507 1606 1832 2519 3014 3212 5038 6028 6424 10001 10076 12056 16717 20002 20152 31373 33434 40004 62746 66868 80008 110011 125492 133736 183887 220022 250984 345103 367774 440044 690206 735548 880088 1380412 1471096 2290229 2760824 4580458 9160916 18321832 25192519 50385038 100770076 201540152