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201352240 = 24513119213
BaseRepresentation
bin11000000000001…
…10010000110000
3112000212202100101
430000012100300
5403021232430
631551402144
74663315525
oct1400062060
9460782311
10201352240
11a3726a11
1257523354
133293b94b
141ca5514c
1512a24dca
hexc006430

201352240 has 40 divisors (see below), whose sum is σ = 471742128. Its totient is φ = 79921920.

The previous prime is 201352231. The next prime is 201352243. The reversal of 201352240 is 42253102.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (201352243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 20086.

Almost surely, 2201352240 is an apocalyptic number.

201352240 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 201352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235871064).

201352240 is an abundant number, since it is smaller than the sum of its proper divisors (270389888).

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

201352240 is a wasteful number, since it uses less digits than its factorization.

201352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19357 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 201352240 is about 14189.8639880726. The cubic root of 201352240 is about 586.1185795980.

The spelling of 201352240 in words is "two hundred one million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 19213 38426 76852 96065 153704 192130 307408 384260 768520 1537040 2516903 5033806 10067612 12584515 20135224 25169030 40270448 50338060 100676120 201352240