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138196476 = 223311611907
BaseRepresentation
bin10000011110010…
…11010111111100
3100122001002221000
420033023113330
5240334241401
621414010300
73265436115
oct1017132774
9318032830
10138196476
1171010070
123a346990
1322828482
14144d520c
15c1ec186
hex83cb5fc

138196476 has 96 divisors (see below), whose sum is σ = 397474560. Its totient is φ = 41169600.

The previous prime is 138196469. The next prime is 138196501. The reversal of 138196476 is 674691831.

It is a happy number.

138196476 is a `hidden beast` number, since 13 + 81 + 96 + 476 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71515 + ... + 73421.

It is an arithmetic number, because the mean of its divisors is an integer number (4140360).

Almost surely, 2138196476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138196476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280).

138196476 is an abundant number, since it is smaller than the sum of its proper divisors (259278084).

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

138196476 is a wasteful number, since it uses less digits than its factorization.

138196476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 138196476 is about 11755.6997239637. The cubic root of 138196476 is about 517.0100550879.

The spelling of 138196476 in words is "one hundred thirty-eight million, one hundred ninety-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 1907 2013 2196 2684 3294 3814 4026 5721 6039 6588 7628 8052 11442 12078 17163 18117 20977 22884 24156 34326 36234 41954 51489 62931 68652 72468 83908 102978 116327 125862 188793 205956 232654 251724 348981 377586 465308 566379 697962 755172 1046943 1132758 1279597 1395924 2093886 2265516 2559194 3140829 3838791 4187772 5118388 6281658 7677582 11516373 12563316 15355164 23032746 34549119 46065492 69098238 138196476