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201325696 = 27111317647
BaseRepresentation
bin10111111111111…
…11110010000000
3112000211101221021
423333333302000
5403014410241
631551035224
74663145245
oct1377776200
9460741837
10201325696
11a3708a80
125750bb14
133292c840
141ca495cc
1512a1c0d1
hexbfffc80

201325696 has 128 divisors (see below), whose sum is σ = 499685760. Its totient is φ = 79380480.

The previous prime is 201325673. The next prime is 201325717. The reversal of 201325696 is 696523102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 310845 + ... + 311491.

It is an arithmetic number, because the mean of its divisors is an integer number (3903795).

Almost surely, 2201325696 is an apocalyptic number.

201325696 is a gapful number since it is divisible by the number (26) 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 201325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249842880).

201325696 is an abundant number, since it is smaller than the sum of its proper divisors (298360064).

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

201325696 is a wasteful number, since it uses less digits than its factorization.

201325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 201325696 is about 14188.9286417263. The cubic root of 201325696 is about 586.0928227199.

Adding to 201325696 its reverse (696523102), we get a palindrome (897848798).

The spelling of 201325696 in words is "two hundred one million, three hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 272 286 352 374 416 442 544 572 647 704 748 832 884 1088 1144 1294 1408 1496 1664 1768 2176 2288 2431 2588 2992 3536 4576 4862 5176 5984 7072 7117 8411 9152 9724 10352 10999 11968 14144 14234 16822 18304 19448 20704 21998 23936 28288 28468 33644 38896 41408 43996 56936 67288 77792 82816 87992 92521 113872 120989 134576 142987 155584 175984 185042 227744 241978 269152 285974 311168 351968 370084 455488 483956 538304 571948 703936 740168 910976 967912 1076608 1143896 1407872 1480336 1572857 1935824 2287792 2960672 3145714 3871648 4575584 5921344 6291428 7743296 9151168 11842688 12582856 15486592 18302336 25165712 50331424 100662848 201325696