Search a number
-
+
196100436 = 223729791019
BaseRepresentation
bin10111011000001…
…00000101010100
3111122222221020010
423230010011110
5400200203221
631243040220
74600553250
oct1354040524
9448887203
10196100436
11a076a184
1255810070
133182037c
141c089260
1512338c76
hexbb04154

196100436 has 96 divisors (see below), whose sum is σ = 548352000. Its totient is φ = 53359488.

The previous prime is 196100413. The next prime is 196100449. The reversal of 196100436 is 634001691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191935 + ... + 192953.

It is an arithmetic number, because the mean of its divisors is an integer number (5712000).

Almost surely, 2196100436 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 196100436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000).

196100436 is an abundant number, since it is smaller than the sum of its proper divisors (352251564).

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

196100436 is a wasteful number, since it uses less digits than its factorization.

196100436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 196100436 is about 14003.5865405974. The cubic root of 196100436 is about 580.9777760060.

The spelling of 196100436 in words is "one hundred ninety-six million, one hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 79 84 87 116 158 174 203 237 316 348 406 474 553 609 812 948 1019 1106 1218 1659 2038 2212 2291 2436 3057 3318 4076 4582 6114 6636 6873 7133 9164 12228 13746 14266 16037 21399 27492 28532 29551 32074 42798 48111 59102 64148 80501 85596 88653 96222 118204 161002 177306 192444 206857 241503 322004 354612 413714 483006 563507 620571 827428 966012 1127014 1241142 1690521 2254028 2334529 2482284 3381042 4669058 6762084 7003587 9338116 14007174 16341703 28014348 32683406 49025109 65366812 98050218 196100436