Search a number
-
+
197084052 = 2232113713451
BaseRepresentation
bin10111011111101…
…00001110010100
3111201211220111100
423233310032110
5400423142202
631320110100
74612121034
oct1357641624
9451756440
10197084052
11a1281190
1256005330
1331aa5ca9
141c2638c4
151248041c
hexbbf4394

197084052 has 72 divisors (see below), whose sum is σ = 558204192. Its totient is φ = 58104000.

The previous prime is 197084039. The next prime is 197084053. The reversal of 197084052 is 250480791.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 197083998 and 197084016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197084053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7927 + ... + 21377.

It is an arithmetic number, because the mean of its divisors is an integer number (7752836).

Almost surely, 2197084052 is an apocalyptic number.

197084052 is a gapful number since it is divisible by the number (12) 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 197084052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279102096).

197084052 is an abundant number, since it is smaller than the sum of its proper divisors (361120140).

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

197084052 is a wasteful number, since it uses less digits than its factorization.

197084052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 197084052 is about 14038.6627568298. The cubic root of 197084052 is about 581.9475277737.

The spelling of 197084052 in words is "one hundred ninety-seven million, eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 13451 14652 26902 40353 53804 80706 121059 147961 161412 242118 295922 443883 484236 497687 591844 887766 995374 1331649 1493061 1775532 1990748 2663298 2986122 4479183 5326596 5474557 5972244 8958366 10949114 16423671 17916732 21898228 32847342 49271013 65694684 98542026 197084052