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196874928 = 243337109113
BaseRepresentation
bin10111011110000…
…01001010110000
3111201110021122000
423233001022300
5400344444203
631311414000
74610260245
oct1357011260
9451407560
10196874928
11a1149058
1255b24300
1331a31a53
141c20b5cc
151243d4a3
hexbbc12b0

196874928 has 160 divisors (see below), whose sum is σ = 590884800. Its totient is φ = 62705664.

The previous prime is 196874927. The next prime is 196874933. The reversal of 196874928 is 829478691.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (196874927) 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 31 ways as a sum of consecutive naturals, for example, 1742200 + ... + 1742312.

It is an arithmetic number, because the mean of its divisors is an integer number (3693030).

Almost surely, 2196874928 is an apocalyptic number.

196874928 is a gapful number since it is divisible by the number (18) 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 196874928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295442400).

196874928 is an abundant number, since it is smaller than the sum of its proper divisors (394009872).

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

196874928 is a wasteful number, since it uses less digits than its factorization.

196874928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 196874928 is about 14031.2126346941. The cubic root of 196874928 is about 581.7416219455.

The spelling of 196874928 in words is "one hundred ninety-six million, eight hundred seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 109 111 113 144 148 216 218 222 226 296 327 333 339 432 436 444 452 592 654 666 678 872 888 904 981 999 1017 1308 1332 1356 1744 1776 1808 1962 1998 2034 2616 2664 2712 2943 3051 3924 3996 4033 4068 4181 5232 5328 5424 5886 6102 7848 7992 8066 8136 8362 11772 12099 12204 12317 12543 15696 15984 16132 16272 16724 23544 24198 24408 24634 25086 32264 33448 36297 36951 37629 47088 48396 48816 49268 50172 64528 66896 72594 73902 75258 96792 98536 100344 108891 110853 112887 145188 147804 150516 193584 197072 200688 217782 221706 225774 290376 295608 301032 332559 435564 443412 451548 455729 580752 591216 602064 665118 871128 886824 903096 911458 1330236 1367187 1742256 1773648 1806192 1822916 2660472 2734374 3645832 4101561 5320944 5468748 7291664 8203122 10937496 12304683 16406244 21874992 24609366 32812488 49218732 65624976 98437464 196874928