Search a number
-
+
123034842 = 23371937463
BaseRepresentation
bin1110101010101…
…01110011011010
322120111211002000
413111111303122
5222444103332
620113021430
73022531110
oct725256332
9276454060
10123034842
11634a4997
1235254876
131c64a3a8
14124a9ab0
15ac04b7c
hex7555cda

123034842 has 128 divisors (see below), whose sum is σ = 338534400. Its totient is φ = 32332608.

The previous prime is 123034841. The next prime is 123034871. The reversal of 123034842 is 248430321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123034841) 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, 265503 + ... + 265965.

It is an arithmetic number, because the mean of its divisors is an integer number (2644800).

Almost surely, 2123034842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123034842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169267200).

123034842 is an abundant number, since it is smaller than the sum of its proper divisors (215499558).

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

123034842 is a wasteful number, since it uses less digits than its factorization.

123034842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 123034842 is about 11092.1071938564. The cubic root of 123034842 is about 497.3659371267.

The spelling of 123034842 in words is "one hundred twenty-three million, thirty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 37 38 42 54 57 63 74 111 114 126 133 171 189 222 259 266 333 342 378 399 463 513 518 666 703 777 798 926 999 1026 1197 1389 1406 1554 1998 2109 2331 2394 2778 3241 3591 4167 4218 4662 4921 6327 6482 6993 7182 8334 8797 9723 9842 12501 12654 13986 14763 17131 17594 18981 19446 25002 26391 29169 29526 34262 37962 44289 51393 52782 58338 61579 79173 87507 88578 102786 119917 123158 132867 154179 158346 175014 184737 237519 239834 265734 308358 325489 359751 369474 462537 475038 554211 650978 719502 925074 976467 1079253 1108422 1662633 1952934 2158506 2278423 2929401 3237759 3325266 4556846 5858802 6475518 6835269 8788203 13670538 17576406 20505807 41011614 61517421 123034842