Search a number
-
+
122703264 = 2532676359
BaseRepresentation
bin1110101000001…
…00110110100000
322112212222020100
413110010312200
5222403001024
620101542400
73016650315
oct724046640
9275788210
10122703264
1163298862
1235114a00
131c5624a8
1412420d0c
15ab8b7c9
hex7504da0

122703264 has 72 divisors (see below), whose sum is σ = 354201120. Its totient is φ = 40284288.

The previous prime is 122703257. The next prime is 122703293. The reversal of 122703264 is 462307221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16117 + ... + 22475.

It is an arithmetic number, because the mean of its divisors is an integer number (4919460).

Almost surely, 2122703264 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 122703264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177100560).

122703264 is an abundant number, since it is smaller than the sum of its proper divisors (231497856).

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

122703264 is a wasteful number, since it uses less digits than its factorization.

122703264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122703264 is about 11077.1505361262. The cubic root of 122703264 is about 496.9187359627.

The spelling of 122703264 in words is "one hundred twenty-two million, seven hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6359 6432 9648 12718 19077 19296 25436 38154 50872 57231 76308 101744 114462 152616 203488 228924 305232 426053 457848 610464 852106 915696 1278159 1704212 1831392 2556318 3408424 3834477 5112636 6816848 7668954 10225272 13633696 15337908 20450544 30675816 40901088 61351632 122703264