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164149076 = 227131741647
BaseRepresentation
bin10011100100010…
…11011101010100
3102102212122012102
421302023131110
5314010232301
624142141232
74032146510
oct1162133524
9372778172
10164149076
11847266a3
1246b81818
1328014140
1417b2d140
15e626b6b
hex9c8b754

164149076 has 96 divisors (see below), whose sum is σ = 384072192. Its totient is φ = 59535360.

The previous prime is 164149067. The next prime is 164149121. The reversal of 164149076 is 670941461.

It is a happy number.

164149076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 253385 + ... + 254031.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2164149076 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 164149076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036096).

164149076 is an abundant number, since it is smaller than the sum of its proper divisors (219923116).

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

164149076 is a wasteful number, since it uses less digits than its factorization.

164149076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 164149076 is about 12812.0675927034. The cubic root of 164149076 is about 547.5361704730.

The spelling of 164149076 in words is "one hundred sixty-four million, one hundred forty-nine thousand, seventy-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 41 52 68 82 91 119 164 182 221 238 287 364 442 476 533 574 647 697 884 1066 1148 1294 1394 1547 2132 2588 2788 3094 3731 4529 4879 6188 7462 8411 9058 9061 9758 10999 14924 16822 18116 18122 19516 21998 26527 33644 36244 43996 53054 58877 63427 76993 106108 117754 126854 142987 153986 185689 235508 253708 285974 307972 344851 371378 450959 571948 689702 742756 901918 1000909 1379404 1803836 2001818 2413957 3156713 4003636 4827914 5862467 6313426 9655828 11724934 12626852 23449868 41037269 82074538 164149076