Search a number
-
+
197068416 = 2732353421
BaseRepresentation
bin10111011111100…
…00011010000000
3111201211010001020
423233300122000
5400422142131
631315505440
74612024326
oct1357603200
9451733036
10197068416
11a1270466
1255bb8280
1331a9bb3c
141c25bd16
151247a996
hexbbf0680

197068416 has 128 divisors (see below), whose sum is σ = 557850240. Its totient is φ = 61501440.

The previous prime is 197068411. The next prime is 197068429. The reversal of 197068416 is 614860791.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (197068411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467886 + ... + 468306.

It is an arithmetic number, because the mean of its divisors is an integer number (4358205).

Almost surely, 2197068416 is an apocalyptic number.

197068416 is a gapful number since it is divisible by the number (16) 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 197068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278925120).

197068416 is an abundant number, since it is smaller than the sum of its proper divisors (360781824).

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

197068416 is a wasteful number, since it uses less digits than its factorization.

197068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 197068416 is about 14038.1058551359. The cubic root of 197068416 is about 581.9321374328.

The spelling of 197068416 in words is "one hundred ninety-seven million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 128 138 159 184 192 212 276 318 368 384 421 424 552 636 736 842 848 1104 1219 1263 1272 1472 1684 1696 2208 2438 2526 2544 2944 3368 3392 3657 4416 4876 5052 5088 6736 6784 7314 8832 9683 9752 10104 10176 13472 14628 19366 19504 20208 20352 22313 26944 29049 29256 38732 39008 40416 44626 53888 58098 58512 66939 77464 78016 80832 89252 116196 117024 133878 154928 156032 161664 178504 232392 234048 267756 309856 357008 464784 468096 513199 535512 619712 714016 929568 1026398 1071024 1239424 1428032 1539597 1859136 2052796 2142048 2856064 3079194 3718272 4105592 4284096 6158388 8211184 8568192 12316776 16422368 24633552 32844736 49267104 65689472 98534208 197068416