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1242432198 = 2327311791777
BaseRepresentation
bin100101000001110…
…0000001011000110
310012120212002120100
41022003200023012
510021030312243
6323141344530
742534333210
oct11203401306
93176762510
101242432198
11588358777
122a8108146
1316a5300a7
14bb0175b0
157411d0d3
hex4a0e02c6

1242432198 has 96 divisors (see below), whose sum is σ = 3195279360. Its totient is φ = 341418240.

The previous prime is 1242432133. The next prime is 1242432203. The reversal of 1242432198 is 8912342421.

1242432198 is a `hidden beast` number, since 1 + 242 + 4 + 321 + 98 = 666.

It is a super-2 number, since 2×12424321982 = 3087275533254222408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698286 + ... + 700062.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 21242432198 is an apocalyptic number.

1242432198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242432198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

1242432198 is an abundant number, since it is smaller than the sum of its proper divisors (1952847162).

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

1242432198 is a wasteful number, since it uses less digits than its factorization.

1242432198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1999 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1242432198 is about 35248.1516962237. The cubic root of 1242432198 is about 1075.0390317178.

The spelling of 1242432198 in words is "one billion, two hundred forty-two million, four hundred thirty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 179 186 217 279 358 434 537 558 651 1074 1253 1302 1611 1777 1953 2506 3222 3554 3759 3906 5331 5549 7518 10662 11098 11277 12439 15993 16647 22554 24878 31986 33294 37317 38843 49941 55087 74634 77686 99882 110174 111951 116529 165261 223902 233058 318083 330522 349587 385609 495783 636166 699174 771218 954249 991566 1156827 1908498 2226581 2313654 2862747 3470481 4453162 5725494 6679743 6940962 9860573 13359486 19721146 20039229 29581719 40078458 59163438 69024011 88745157 138048022 177490314 207072033 414144066 621216099 1242432198