Search a number
-
+
14981148 = 223271317269
BaseRepresentation
bin111001001001…
…100000011100
31001012010021100
4321021200130
512313344043
61253033100
7241223550
oct71114034
931163240
1014981148
118502616
125025790
133146bb0
141dbd860
1514adcd3
hexe4981c

14981148 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 3704832.

The previous prime is 14981147. The next prime is 14981179. The reversal of 14981148 is 84118941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14981143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55558 + ... + 55826.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 214981148 is an apocalyptic number.

14981148 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 14981148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

14981148 is an abundant number, since it is smaller than the sum of its proper divisors (34551972).

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

14981148 is a wasteful number, since it uses less digits than its factorization.

14981148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 14981148 is about 3870.5487982972. The cubic root of 14981148 is about 246.5178462750.

It can be divided in two parts, 14981 and 148, that added together give a square (15129 = 1232).

The spelling of 14981148 in words is "fourteen million, nine hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 269 273 306 357 364 442 468 476 538 546 612 663 714 807 819 884 1071 1076 1092 1326 1428 1547 1614 1638 1883 1989 2142 2421 2652 3094 3228 3276 3497 3766 3978 4284 4573 4641 4842 5649 6188 6994 7532 7956 9146 9282 9684 10491 11298 13719 13923 13988 16947 18292 18564 20982 22596 24479 27438 27846 31473 32011 33894 41157 41964 48958 54876 55692 59449 62946 64022 67788 73437 82314 96033 97916 118898 125892 128044 146874 164628 178347 192066 220311 237796 288099 293748 356694 384132 416143 440622 535041 576198 713388 832286 881244 1070082 1152396 1248429 1664572 2140164 2496858 3745287 4993716 7490574 14981148