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201062628 = 223313712017
BaseRepresentation
bin10111111101111…
…11100011100100
3112000100001002000
423332333203210
5402433001003
631541245300
74661001264
oct1376774344
9460301060
10201062628
11a3549368
1257403830
1332869b90
141c9bb7a4
15129b91a3
hexbfbf8e4

201062628 has 96 divisors (see below), whose sum is σ = 569560320. Its totient is φ = 60963840.

The previous prime is 201062627. The next prime is 201062629. The reversal of 201062628 is 826260102.

201062628 is a `hidden beast` number, since 2 + 0 + 10 + 626 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (201062627) and next prime (201062629).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201062623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98676 + ... + 100692.

It is an arithmetic number, because the mean of its divisors is an integer number (5932920).

Almost surely, 2201062628 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 201062628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284780160).

201062628 is an abundant number, since it is smaller than the sum of its proper divisors (368497692).

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

201062628 is a wasteful number, since it uses less digits than its factorization.

201062628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201062628 is about 14179.6554259968. The cubic root of 201062628 is about 585.8374331131.

The spelling of 201062628 in words is "two hundred one million, sixty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 156 213 234 284 351 426 468 639 702 852 923 1278 1404 1846 1917 2017 2556 2769 3692 3834 4034 5538 6051 7668 8068 8307 11076 12102 16614 18153 24204 24921 26221 33228 36306 49842 52442 54459 72612 78663 99684 104884 108918 143207 157326 217836 235989 286414 314652 429621 471978 572828 707967 859242 943956 1288863 1415934 1718484 1861691 2577726 2831868 3723382 3866589 5155452 5585073 7446764 7733178 11170146 15466356 16755219 22340292 33510438 50265657 67020876 100531314 201062628