Search a number
-
+
123161696 = 2575229
BaseRepresentation
bin1110101011101…
…00110001100000
322120202021002022
413111310301200
5223012133241
620115441012
73023600000
oct725646140
9276667068
10123161696
1163581229
12352b6168
131c693058
1412500000
15ac2c54b
hex7574c60

123161696 has 72 divisors (see below), whose sum is σ = 284119920. Its totient is φ = 52553088.

The previous prime is 123161681. The next prime is 123161699. The reversal of 123161696 is 696161321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123161699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537710 + ... + 537938.

It is an arithmetic number, because the mean of its divisors is an integer number (3946110).

Almost surely, 2123161696 is an apocalyptic number.

123161696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123161696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142059960).

123161696 is an abundant number, since it is smaller than the sum of its proper divisors (160958224).

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

123161696 is an frugal number, since it uses more digits than its factorization.

123161696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 123161696 is about 11097.8239308434. The cubic root of 123161696 is about 497.5368133495.

The spelling of 123161696 in words is "one hundred twenty-three million, one hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 343 392 458 686 784 916 1372 1568 1603 1832 2401 2744 3206 3664 4802 5488 6412 7328 9604 10976 11221 12824 16807 19208 22442 25648 33614 38416 44884 51296 67228 76832 78547 89768 134456 157094 179536 268912 314188 359072 537824 549829 628376 1099658 1256752 2199316 2513504 3848803 4398632 7697606 8797264 15395212 17594528 30790424 61580848 123161696