[go: up one dir, main page]

Search a number
-
+
13552434 = 2347171937
BaseRepresentation
bin110011101100…
…101100110010
3221111112110000
4303230230302
511432134214
61202250430
7223123320
oct63545462
927445400
1013552434
117717165
124656a16
132a667bc
141b2ad10
1512ca809
hexcecb32

13552434 has 160 divisors (see below), whose sum is σ = 39726720. Its totient is φ = 3359232.

The previous prime is 13552421. The next prime is 13552457. The reversal of 13552434 is 43425531.

13552434 is a `hidden beast` number, since 135 + 524 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13552398 and 13552407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366264 + ... + 366300.

It is an arithmetic number, because the mean of its divisors is an integer number (248292).

Almost surely, 213552434 is an apocalyptic number.

13552434 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 13552434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863360).

13552434 is an abundant number, since it is smaller than the sum of its proper divisors (26174286).

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

13552434 is a wasteful number, since it uses less digits than its factorization.

13552434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 13552434 is about 3681.3630627799. The cubic root of 13552434 is about 238.4180328273.

Adding to 13552434 its reverse (43425531), we get a palindrome (56977965).

The spelling of 13552434 in words is "thirteen million, five hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 37 38 42 51 54 57 63 74 81 102 111 114 119 126 133 153 162 171 189 222 238 259 266 306 323 333 342 357 378 399 459 513 518 567 629 646 666 703 714 777 798 918 969 999 1026 1071 1134 1197 1258 1377 1406 1539 1554 1887 1938 1998 2109 2142 2261 2331 2394 2754 2907 2997 3078 3213 3591 3774 4218 4403 4522 4662 4921 5661 5814 5994 6327 6426 6783 6993 7182 8721 8806 9639 9842 10773 11322 11951 12654 13209 13566 13986 14763 16983 17442 18981 19278 20349 20979 21546 23902 26163 26418 29526 33966 35853 37962 39627 40698 41958 44289 50949 52326 56943 61047 71706 79254 83657 88578 101898 107559 113886 118881 122094 132867 167314 183141 215118 237762 250971 265734 322677 356643 366282 398601 501942 645354 713286 752913 797202 968031 1505826 1936062 2258739 4517478 6776217 13552434