Search a number
-
+
123709248 = 2633135507
BaseRepresentation
bin1110101111110…
…10011101000000
322121210002012000
413113322131000
5223132143443
620135304000
73031340235
oct727723500
9277702160
10123709248
1163915653
123551b000
131c825350
141260378c
15acd98d3
hex75fa740

123709248 has 112 divisors (see below), whose sum is σ = 391728960. Its totient is φ = 38057472.

The previous prime is 123709213. The next prime is 123709291. The reversal of 123709248 is 842907321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19711 + ... + 25217.

It is an arithmetic number, because the mean of its divisors is an integer number (3497580).

Almost surely, 2123709248 is an apocalyptic number.

123709248 is a gapful number since it is divisible by the number (18) 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 123709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

123709248 is an abundant number, since it is smaller than the sum of its proper divisors (268019712).

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

123709248 is a wasteful number, since it uses less digits than its factorization.

123709248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 123709248 is about 11122.4659136362. The cubic root of 123709248 is about 498.2730394149.

The spelling of 123709248 in words is "one hundred twenty-three million, seven hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5507 5616 7488 11014 11232 16521 22028 22464 33042 44056 49563 66084 71591 88112 99126 132168 143182 148689 176224 198252 214773 264336 286364 297378 352448 396504 429546 528672 572728 594756 644319 793008 859092 1057344 1145456 1189512 1288638 1586016 1718184 1932957 2290912 2379024 2577276 3172032 3436368 3865914 4581824 4758048 5154552 6872736 7731828 9516096 10309104 13745472 15463656 20618208 30927312 41236416 61854624 123709248