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123985134 = 233713231097
BaseRepresentation
bin1110110001111…
…01110011101110
322122022002122000
413120331303232
5223220011014
620145233130
73033566460
oct730756356
9278262560
10123985134
1163a93959
12356327a6
131c8c0ab0
1412676130
15ad41509
hex763dcee

123985134 has 128 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 31249152.

The previous prime is 123985129. The next prime is 123985139. The reversal of 123985134 is 431589321.

It is an interprime number because it is at equal distance from previous prime (123985129) and next prime (123985139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123985139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112474 + ... + 113570.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2123985134 is an apocalyptic number.

123985134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123985134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

123985134 is an abundant number, since it is smaller than the sum of its proper divisors (230185746).

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

123985134 is a wasteful number, since it uses less digits than its factorization.

123985134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 123985134 is about 11134.8612025476. The cubic root of 123985134 is about 498.6431666705.

The spelling of 123985134 in words is "one hundred twenty-three million, nine hundred eighty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 91 117 126 138 161 182 189 207 234 273 299 322 351 378 414 483 546 598 621 702 819 897 966 1097 1242 1449 1638 1794 2093 2194 2457 2691 2898 3291 4186 4347 4914 5382 6279 6582 7679 8073 8694 9873 12558 14261 15358 16146 18837 19746 23037 25231 28522 29619 37674 42783 46074 50462 56511 59238 69111 75693 85566 99827 113022 128349 138222 151386 176617 199654 207333 227079 256698 299481 328003 353234 385047 414666 454158 529851 598962 656006 681237 770094 898443 984009 1059702 1362474 1589553 1796886 1968018 2296021 2695329 2952027 3179106 4592042 4768659 5390658 5904054 6888063 8856081 9537318 13776126 17712162 20664189 41328378 61992567 123985134