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196001640 = 233351271429
BaseRepresentation
bin10111010111010…
…11111101101000
3111122210220201000
423223223331220
5400134023030
631240555000
74566662232
oct1353537550
9448726630
10196001640
11a0701a2a
1255782a60
13317b7403
141c061252
1512319860
hexbaebf68

196001640 has 128 divisors (see below), whose sum is σ = 658944000. Its totient is φ = 51819264.

The previous prime is 196001639. The next prime is 196001651. The reversal of 196001640 is 46100691.

196001640 is a `hidden beast` number, since 1 + 9 + 600 + 16 + 40 = 666.

196001640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 136446 + ... + 137874.

It is an arithmetic number, because the mean of its divisors is an integer number (5148000).

Almost surely, 2196001640 is an apocalyptic number.

196001640 is a gapful number since it is divisible by the number (10) 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 196001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329472000).

196001640 is an abundant number, since it is smaller than the sum of its proper divisors (462942360).

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

196001640 is a wasteful number, since it uses less digits than its factorization.

196001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 196001640 is about 14000.0585713061. The cubic root of 196001640 is about 580.8801934894.

The spelling of 196001640 in words is "one hundred ninety-six million, one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 127 135 180 216 254 270 360 381 508 540 635 762 1016 1080 1143 1270 1429 1524 1905 2286 2540 2858 3048 3429 3810 4287 4572 5080 5715 5716 6858 7145 7620 8574 9144 11430 11432 12861 13716 14290 15240 17145 17148 21435 22860 25722 27432 28580 34290 34296 38583 42870 45720 51444 57160 64305 68580 77166 85740 102888 128610 137160 154332 171480 181483 192915 257220 308664 362966 385830 514440 544449 725932 771660 907415 1088898 1451864 1543320 1633347 1814830 2177796 2722245 3266694 3629660 4355592 4900041 5444490 6533388 7259320 8166735 9800082 10888980 13066776 16333470 19600164 21777960 24500205 32666940 39200328 49000410 65333880 98000820 196001640