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68970132 = 2232711139179
BaseRepresentation
bin1000001110001…
…10011010010100
311210210001020100
410013012122110
5120124021012
610502134100
71465144050
oct407063224
9153701210
1068970132
1135a28310
121b121330
131139ab3a
149234c60
1560c58dc
hex41c6694

68970132 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 17686080.

The previous prime is 68970107. The next prime is 68970137. The reversal of 68970132 is 23107986.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68970137) by changing a digit.

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, 385219 + ... + 385397.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 268970132 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 68970132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

68970132 is an abundant number, since it is smaller than the sum of its proper divisors (151177068).

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

68970132 is a wasteful number, since it uses less digits than its factorization.

68970132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 68970132 is about 8304.8258259882. The cubic root of 68970132 is about 410.0974029935.

The spelling of 68970132 in words is "sixty-eight million, nine hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 179 198 231 252 278 308 358 396 417 462 537 556 693 716 834 924 973 1074 1251 1253 1386 1529 1611 1668 1946 1969 2148 2502 2506 2772 2919 3058 3222 3759 3892 3938 4587 5004 5012 5838 5907 6116 6444 7518 7876 8757 9174 10703 11277 11676 11814 13761 13783 15036 17514 17721 18348 21406 22554 23628 24881 27522 27566 32109 35028 35442 41349 42812 45108 49762 55044 55132 64218 70884 74643 82698 96327 99524 124047 128436 149286 165396 174167 192654 223929 248094 273691 298572 348334 385308 447858 496188 522501 547382 696668 821073 895716 1045002 1094764 1567503 1642146 1915837 2090004 2463219 3135006 3284292 3831674 4926438 5747511 6270012 7663348 9852876 11495022 17242533 22990044 34485066 68970132