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196040430 = 232517373463
BaseRepresentation
bin10111010111101…
…01011011101110
3111122212212220200
423223311123232
5400141243210
631241454330
74600213305
oct1353653356
9448785820
10196040430
11a0729093
12557a13a6
13317cbc71
141c07143c
15123260c0
hexbaf56ee

196040430 has 96 divisors (see below), whose sum is σ = 554433984. Its totient is φ = 47858688.

The previous prime is 196040407. The next prime is 196040437. The reversal of 196040430 is 34040691.

196040430 is a `hidden beast` number, since 19 + 604 + 0 + 43 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 196040394 and 196040403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196040437) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54879 + ... + 58341.

It is an arithmetic number, because the mean of its divisors is an integer number (5775354).

Almost surely, 2196040430 is an apocalyptic number.

196040430 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 196040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277216992).

196040430 is an abundant number, since it is smaller than the sum of its proper divisors (358393554).

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

196040430 is a wasteful number, since it uses less digits than its factorization.

196040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 196040430 is about 14001.4438541173. The cubic root of 196040430 is about 580.9185109518.

The spelling of 196040430 in words is "one hundred ninety-six million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1887 3145 3330 3463 3774 5661 6290 6926 9435 10389 11322 17315 18870 20778 28305 31167 34630 51945 56610 58871 62334 103890 117742 128131 155835 176613 256262 294355 311670 353226 384393 529839 588710 640655 768786 883065 1059678 1153179 1281310 1766130 1921965 2178227 2306358 2649195 3843930 4356454 5298390 5765895 6534681 10891135 11531790 13069362 19604043 21782270 32673405 39208086 65346810 98020215 196040430