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164065902 = 237111359463
BaseRepresentation
bin10011100011101…
…11001001101110
3102102201102002220
421301313021232
5314000102102
624140300210
74031352150
oct1161671156
9372642086
10164065902
118467a160
1246b41666
1327cb5320
1417b0aad0
15e60c1bc
hex9c7726e

164065902 has 128 divisors (see below), whose sum is σ = 449003520. Its totient is φ = 38586240.

The previous prime is 164065871. The next prime is 164065907. The reversal of 164065902 is 209560461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164065907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354123 + ... + 354585.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2164065902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164065902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224501760).

164065902 is an abundant number, since it is smaller than the sum of its proper divisors (284937618).

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

164065902 is a wasteful number, since it uses less digits than its factorization.

164065902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 164065902 is about 12808.8212572430. The cubic root of 164065902 is about 547.4436763644.

The spelling of 164065902 in words is "one hundred sixty-four million, sixty-five thousand, nine hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 59 66 77 78 91 118 143 154 177 182 231 273 286 354 413 429 462 463 546 649 767 826 858 926 1001 1239 1298 1389 1534 1947 2002 2301 2478 2778 3003 3241 3894 4543 4602 5093 5369 6006 6019 6482 8437 9086 9723 10186 10738 12038 13629 15279 16107 16874 18057 19446 25311 27258 27317 30558 32214 35651 36114 42133 50622 54634 59059 66209 71302 81951 84266 106953 118118 126399 132418 163902 177177 191219 198627 213906 252798 300487 354354 355121 382438 397254 463463 573657 600974 710242 901461 926926 1065363 1147314 1390389 1802922 2103409 2130726 2485847 2780778 3906331 4206818 4971694 6310227 7457541 7812662 11718993 12620454 14915082 23437986 27344317 54688634 82032951 164065902