[go: up one dir, main page]

Search a number
-
+
69990912 = 29336183
BaseRepresentation
bin1000010101111…
…11101000000000
311212200220111000
410022333220000
5120404202122
610540052000
71506625065
oct412775000
9155626430
1069990912
1136565232
121b534000
1311667654
14941cc6c
1562280ac
hex42bfa00

69990912 has 160 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 22671360.

The previous prime is 69990881. The next prime is 69990913. The reversal of 69990912 is 21909996.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (69990913) 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 15 ways as a sum of consecutive naturals, for example, 843223 + ... + 843305.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 269990912 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 69990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

69990912 is an abundant number, since it is smaller than the sum of its proper divisors (143120448).

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

69990912 is an equidigital number, since it uses as much as digits as its factorization.

69990912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 69990912 is about 8366.0571358317. The cubic root of 69990912 is about 412.1106938562.

The spelling of 69990912 in words is "sixty-nine million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 83 96 108 122 128 144 166 183 192 216 244 249 256 288 332 366 384 432 488 498 512 549 576 664 732 747 768 864 976 996 1098 1152 1328 1464 1494 1536 1647 1728 1952 1992 2196 2241 2304 2656 2928 2988 3294 3456 3904 3984 4392 4482 4608 5063 5312 5856 5976 6588 6912 7808 7968 8784 8964 10126 10624 11712 11952 13176 13824 15189 15616 15936 17568 17928 20252 21248 23424 23904 26352 30378 31232 31872 35136 35856 40504 42496 45567 46848 47808 52704 60756 63744 70272 71712 81008 91134 93696 95616 105408 121512 127488 136701 140544 143424 162016 182268 191232 210816 243024 273402 281088 286848 324032 364536 382464 421632 486048 546804 573696 648064 729072 843264 972096 1093608 1147392 1296128 1458144 1944192 2187216 2592256 2916288 3888384 4374432 5832576 7776768 8748864 11665152 17497728 23330304 34995456 69990912