Search a number
-
+
201714528 = 25337109521
BaseRepresentation
bin11000000010111…
…10101101100000
3112001120011022110
430001132231200
5403114331103
632003235320
74666355001
oct1401365540
9461504273
10201714528
11a3954124
1257678b40
1332a37812
141cb0b1a8
1512a97403
hexc05eb60

201714528 has 96 divisors (see below), whose sum is σ = 549853920. Its totient is φ = 64696320.

The previous prime is 201714497. The next prime is 201714533. The reversal of 201714528 is 825417102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 201714495 and 201714504.

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, 386908 + ... + 387428.

It is an arithmetic number, because the mean of its divisors is an integer number (5727645).

Almost surely, 2201714528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201714528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274926960).

201714528 is an abundant number, since it is smaller than the sum of its proper divisors (348139392).

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

201714528 is a wasteful number, since it uses less digits than its factorization.

201714528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 201714528 is about 14202.6239829125. The cubic root of 201714528 is about 586.4698984281.

The spelling of 201714528 in words is "two hundred one million, seven hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 109 111 148 218 222 296 327 436 444 521 592 654 872 888 1042 1184 1308 1563 1744 1776 2084 2616 3126 3488 3552 4033 4168 5232 6252 8066 8336 10464 12099 12504 16132 16672 19277 24198 25008 32264 38554 48396 50016 56789 57831 64528 77108 96792 113578 115662 129056 154216 170367 193584 227156 231324 308432 340734 387168 454312 462648 616864 681468 908624 925296 1362936 1817248 1850592 2101193 2725872 4202386 5451744 6303579 8404772 12607158 16809544 25214316 33619088 50428632 67238176 100857264 201714528