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201023640 = 233351710949
BaseRepresentation
bin10111111101101…
…10000010011000
3112000021001121000
423332312002120
5402430224030
631540345000
74660446516
oct1376660230
9460231530
10201023640
11a3522044
12573a5160
13328551cc
141c9ab4b6
15129ac860
hexbfb6098

201023640 has 128 divisors (see below), whose sum is σ = 709560000. Its totient is φ = 50448384.

The previous prime is 201023597. The next prime is 201023663. The reversal of 201023640 is 46320102.

It is a happy number.

201023640 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 23 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12886 + ... + 23834.

Almost surely, 2201023640 is an apocalyptic number.

201023640 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 201023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354780000).

201023640 is an abundant number, since it is smaller than the sum of its proper divisors (508536360).

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

201023640 is a wasteful number, since it uses less digits than its factorization.

201023640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201023640 is about 14178.2805727634. The cubic root of 201023640 is about 585.7995641390.

Adding to 201023640 its reverse (46320102), we get a palindrome (247343742).

The spelling of 201023640 in words is "two hundred one million, twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 10949 18360 21898 32847 43796 54745 65694 87592 98541 109490 131388 164235 186133 197082 218980 262776 295623 328470 372266 394164 437960 492705 558399 591246 656940 744532 788328 930665 985410 1116798 1182492 1313880 1478115 1489064 1675197 1861330 1970820 2233596 2364984 2791995 2956230 3350394 3722660 3941640 4467192 5025591 5583990 5912460 6700788 7445320 8375985 10051182 11167980 11824920 13401576 16751970 20102364 22335960 25127955 33503940 40204728 50255910 67007880 100511820 201023640