Search a number
-
+
196835004 = 223253711453
BaseRepresentation
bin10111011101101…
…11011010111100
3111201101020212100
423232313122330
5400342210004
631310505100
74610032662
oct1356673274
9451336770
10196835004
11a1121063
1255b05190
1331a19822
141c1dac32
1512431739
hexbbb76bc

196835004 has 72 divisors (see below), whose sum is σ = 514436832. Its totient is φ = 63423360.

The previous prime is 196834997. The next prime is 196835011. The reversal of 196835004 is 400538691.

It is an interprime number because it is at equal distance from previous prime (196834997) and next prime (196835011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 196835004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134742 + ... + 136194.

It is an arithmetic number, because the mean of its divisors is an integer number (7144956).

Almost surely, 2196835004 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 196835004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257218416).

196835004 is an abundant number, since it is smaller than the sum of its proper divisors (317601828).

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

196835004 is a wasteful number, since it uses less digits than its factorization.

196835004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 196835004 is about 14029.7898772576. The cubic root of 196835004 is about 581.7022957553.

The spelling of 196835004 in words is "one hundred ninety-six million, eight hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 53 71 106 142 159 212 213 284 318 426 477 636 639 852 954 1278 1453 1908 2556 2906 3763 4359 5812 7526 8718 11289 13077 15052 17436 22578 26154 33867 45156 52308 67734 77009 103163 135468 154018 206326 231027 308036 309489 412652 462054 618978 693081 924108 928467 1237956 1386162 1856934 2772324 3713868 5467639 10935278 16402917 21870556 32805834 49208751 65611668 98417502 196835004