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113305374 = 232713217313
BaseRepresentation
bin1101100000011…
…10011100011110
321220012111202100
412300032130132
5213001232444
615124305530
72544036240
oct660163436
9256174670
10113305374
1158a5a006
1231b422a6
131a621a00
1411096090
159e31e69
hex6c0e71e

113305374 has 144 divisors (see below), whose sum is σ = 322706592. Its totient is φ = 28035072.

The previous prime is 113305373. The next prime is 113305453. The reversal of 113305374 is 473503311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113305373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361842 + ... + 362154.

It is an arithmetic number, because the mean of its divisors is an integer number (2241018).

Almost surely, 2113305374 is an apocalyptic number.

113305374 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 113305374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161353296).

113305374 is an abundant number, since it is smaller than the sum of its proper divisors (209401218).

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

113305374 is a wasteful number, since it uses less digits than its factorization.

113305374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 113305374 is about 10644.4997064212. The cubic root of 113305374 is about 483.8939246854.

Adding to 113305374 its reverse (473503311), we get a palindrome (586808685).

The spelling of 113305374 in words is "one hundred thirteen million, three hundred five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 169 182 221 234 238 273 306 313 338 357 442 507 546 626 663 714 819 939 1014 1071 1183 1326 1521 1547 1638 1878 1989 2142 2191 2366 2817 2873 3042 3094 3549 3978 4069 4382 4641 5321 5634 5746 6573 7098 8138 8619 9282 10642 10647 12207 13146 13923 15963 17238 19719 20111 21294 24414 25857 27846 28483 31926 36621 37247 39438 40222 47889 51714 52897 56966 60333 69173 73242 74494 85449 95778 105794 111741 120666 138346 158691 170898 180999 207519 223482 256347 317382 335223 361998 370279 415038 476073 484211 512694 622557 670446 740558 899249 952146 968422 1110837 1245114 1452633 1798498 2221674 2697747 2905266 3332511 4357899 5395494 6294743 6665022 8093241 8715798 12589486 16186482 18884229 37768458 56652687 113305374