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201132440 = 235172127137
BaseRepresentation
bin10111111110100…
…00100110011000
3112000110120211122
423333100212120
5402442214230
631542544412
74661411645
oct1377204630
9460416748
10201132440
11a3596863
1257438108
13328928a2
141c9d8dcc
15129cebe5
hexbfd0998

201132440 has 96 divisors (see below), whose sum is σ = 488056320. Its totient is φ = 74575872.

The previous prime is 201132431. The next prime is 201132443. The reversal of 201132440 is 44231102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201132443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1468052 + ... + 1468188.

It is an arithmetic number, because the mean of its divisors is an integer number (5083920).

Almost surely, 2201132440 is an apocalyptic number.

201132440 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 201132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244028160).

201132440 is an abundant number, since it is smaller than the sum of its proper divisors (286923880).

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

201132440 is a wasteful number, since it uses less digits than its factorization.

201132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 201132440 is about 14182.1169082757. The cubic root of 201132440 is about 585.9052291537.

Adding to 201132440 its reverse (44231102), we get a palindrome (245363542).

The spelling of 201132440 in words is "two hundred one million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 137 170 254 274 289 340 508 548 578 635 680 685 1016 1096 1156 1270 1370 1445 2159 2312 2329 2540 2740 2890 4318 4658 5080 5480 5780 8636 9316 10795 11560 11645 17272 17399 18632 21590 23290 34798 36703 39593 43180 46580 69596 73406 79186 86360 86995 93160 139192 146812 158372 173990 183515 197965 293624 295783 316744 347980 367030 395930 591566 695960 734060 791860 1183132 1468120 1478915 1583720 2366264 2957830 5028311 5915660 10056622 11831320 20113244 25141555 40226488 50283110 100566220 201132440