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196835430 = 235113171271
BaseRepresentation
bin10111011101101…
…11100001100110
3111201101021110010
423232313201212
5400342213210
631310511050
74610034141
oct1356674146
9451337403
10196835430
11a1121410
1255b05486
1331a19a8c
141c1db058
1512431920
hexbbb7866

196835430 has 128 divisors (see below), whose sum is σ = 541458432. Its totient is φ = 45360000.

The previous prime is 196835423. The next prime is 196835437. The reversal of 196835430 is 34538691.

It is an interprime number because it is at equal distance from previous prime (196835423) and next prime (196835437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196835437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726195 + ... + 726465.

It is an arithmetic number, because the mean of its divisors is an integer number (4230144).

Almost surely, 2196835430 is an apocalyptic number.

196835430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196835430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270729216).

196835430 is an abundant number, since it is smaller than the sum of its proper divisors (344623002).

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

196835430 is a wasteful number, since it uses less digits than its factorization.

196835430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 196835430 is about 14029.8050592302. The cubic root of 196835430 is about 581.7027154045.

The spelling of 196835430 in words is "one hundred ninety-six million, eight hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 71 93 110 142 155 165 186 213 271 310 330 341 355 426 465 542 682 710 781 813 930 1023 1065 1355 1562 1626 1705 2046 2130 2201 2343 2710 2981 3410 3905 4065 4402 4686 5115 5962 6603 7810 8130 8401 8943 10230 11005 11715 13206 14905 16802 17886 19241 22010 23430 24211 25203 29810 33015 38482 42005 44715 48422 50406 57723 66030 72633 84010 89430 92411 96205 115446 121055 126015 145266 184822 192410 211651 242110 252030 277233 288615 363165 423302 462055 554466 577230 596471 634953 726330 924110 1058255 1192942 1269906 1386165 1789413 2116510 2772330 2982355 3174765 3578826 5964710 6349530 6561181 8947065 13122362 17894130 19683543 32805905 39367086 65611810 98417715 196835430