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201065004 = 22357291019
BaseRepresentation
bin10111111110000…
…00001000101100
3112000100011100000
423333000020230
5402433040004
631541304300
74661011230
oct1377001054
9460304300
10201065004
11a3550128
1257405090
133286ac9a
141c9bc5c0
15129b9c39
hexbfc022c

201065004 has 144 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 55411776.

The previous prime is 201064999. The next prime is 201065021. The reversal of 201065004 is 400560102.

It is a happy number.

201065004 is a `hidden beast` number, since 2 + 0 + 10 + 650 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196807 + ... + 197825.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2201065004 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 201065004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

201065004 is an abundant number, since it is smaller than the sum of its proper divisors (422685396).

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

201065004 is a wasteful number, since it uses less digits than its factorization.

201065004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201065004 is about 14179.7392077570. The cubic root of 201065004 is about 585.8397407593.

It can be divided in two parts, 20 and 1065004, that added together give a square (1065024 = 10322).

The spelling of 201065004 in words is "two hundred one million, sixty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 756 783 812 972 1019 1044 1134 1218 1566 1701 1827 2038 2268 2349 2436 3057 3132 3402 3654 4076 4698 5481 6114 6804 7047 7133 7308 9171 9396 10962 12228 14094 14266 16443 18342 21399 21924 27513 28188 28532 29551 32886 36684 42798 49329 55026 59102 64197 65772 82539 85596 88653 98658 110052 118204 128394 165078 177306 192591 197316 206857 247617 256788 265959 330156 354612 385182 413714 495234 531918 577773 620571 770364 797877 827428 990468 1063836 1155546 1241142 1595754 1733319 1861713 2311092 2393631 2482284 3191508 3466638 3723426 4787262 5585139 6933276 7180893 7446852 9574524 11170278 14361786 16755417 22340556 28723572 33510834 50266251 67021668 100532502 201065004