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1188780138 = 23471326203
BaseRepresentation
bin100011011011011…
…0101100001101010
310001211220021210000
41012312311201222
54413311431023
6313543403430
741313315210
oct10666654152
93054807700
101188780138
11560043127
12292153576
1315c396600
14b3c4ccb0
156e571243
hex46db586a

1188780138 has 120 divisors (see below), whose sum is σ = 3297004128. Its totient is φ = 313473888.

The previous prime is 1188780137. The next prime is 1188780167. The reversal of 1188780138 is 8310878811.

It is a junction number, because it is equal to n+sod(n) for n = 1188780093 and 1188780102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1188780137) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 188545 + ... + 194747.

Almost surely, 21188780138 is an apocalyptic number.

1188780138 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 1188780138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648502064).

1188780138 is an abundant number, since it is smaller than the sum of its proper divisors (2108223990).

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

1188780138 is a wasteful number, since it uses less digits than its factorization.

1188780138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The square root of 1188780138 is about 34478.6910714430. The cubic root of 1188780138 is about 1059.3362814262.

The spelling of 1188780138 in words is "one billion, one hundred eighty-eight million, seven hundred eighty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 169 182 189 234 273 338 351 378 507 546 567 702 819 1014 1053 1134 1183 1521 1638 2106 2366 2457 3042 3549 4563 4914 6203 7098 7371 9126 10647 12406 13689 14742 18609 21294 27378 31941 37218 43421 55827 63882 80639 86842 95823 111654 130263 161278 167481 191646 241917 260526 334962 390789 483834 502443 564473 725751 781578 1004886 1048307 1128946 1172367 1451502 1693419 2096614 2177253 2344734 3144921 3386838 3517101 4354506 5080257 6289842 6531759 7034202 7338149 9434763 10160514 13063518 14676298 15240771 18869526 22014447 28304289 30481542 44028894 45722313 56608578 66043341 84912867 91444626 132086682 169825734 198130023 396260046 594390069 1188780138