Search a number
-
+
102055044 = 2237213379
BaseRepresentation
bin1100001010100…
…11110010000100
321010000221012110
412011103302010
5202111230134
614043221020
72346311400
oct605236204
9233027173
10102055044
1152675513
122a217770
13181b3000
14d7a8100
158e5d7e9
hex6153c84

102055044 has 144 divisors (see below), whose sum is σ = 303878400. Its totient is φ = 26574912.

The previous prime is 102055033. The next prime is 102055049. The reversal of 102055044 is 440550201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102055044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102055049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1291797 + ... + 1291875.

Almost surely, 2102055044 is an apocalyptic number.

102055044 is a gapful number since it is divisible by the number (14) 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 102055044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

102055044 is an abundant number, since it is smaller than the sum of its proper divisors (201823356).

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

102055044 is a wasteful number, since it uses less digits than its factorization.

102055044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 102055044 is about 10102.2296548831. The cubic root of 102055044 is about 467.3169046700.

The spelling of 102055044 in words is "one hundred two million, fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 79 84 91 98 147 156 158 169 182 196 237 273 294 316 338 364 474 507 546 553 588 637 676 948 1014 1027 1092 1106 1183 1274 1659 1911 2028 2054 2197 2212 2366 2548 3081 3318 3549 3822 3871 4108 4394 4732 6162 6591 6636 7098 7189 7644 7742 8281 8788 11613 12324 13182 13351 14196 14378 15379 15484 16562 21567 23226 24843 26364 26702 28756 30758 33124 40053 43134 46137 46452 49686 50323 53404 61516 80106 86268 92274 93457 99372 100646 107653 150969 160212 173563 184548 186914 201292 215306 280371 301938 322959 347126 373828 430612 520689 560742 603876 645918 654199 694252 1041378 1121484 1214941 1291836 1308398 1962597 2082756 2429882 2616796 3644823 3925194 4859764 7289646 7850388 8504587 14579292 17009174 25513761 34018348 51027522 102055044