Search a number
-
+
102145554 = 232717431109
BaseRepresentation
bin1100001011010…
…01111000010010
321010012112100200
412011221320102
5202122124204
614045200030
72350136310
oct605517022
9233175320
10102145554
1152727515
122a260016
1318215274
14d7cd0b0
158e7a539
hex6169e12

102145554 has 96 divisors (see below), whose sum is σ = 274285440. Its totient is φ = 26804736.

The previous prime is 102145541. The next prime is 102145573. The reversal of 102145554 is 455541201.

102145554 is a `hidden beast` number, since 102 + 1 + 4 + 5 + 554 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91552 + ... + 92660.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 2102145554 is an apocalyptic number.

102145554 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 102145554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137142720).

102145554 is an abundant number, since it is smaller than the sum of its proper divisors (172139886).

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

102145554 is a wasteful number, since it uses less digits than its factorization.

102145554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 102145554 is about 10106.7083662288. The cubic root of 102145554 is about 467.4550143069.

Adding to 102145554 its reverse (455541201), we get a palindrome (557686755).

The spelling of 102145554 in words is "one hundred two million, one hundred forty-five thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 43 51 63 86 102 119 126 129 153 238 258 301 306 357 387 602 714 731 774 903 1071 1109 1462 1806 2142 2193 2218 2709 3327 4386 5117 5418 6579 6654 7763 9981 10234 13158 15351 15526 18853 19962 23289 30702 37706 46053 46578 47687 56559 69867 92106 95374 113118 131971 139734 143061 169677 263942 286122 333809 339354 395913 429183 667618 791826 810679 858366 1001427 1187739 1621358 2002854 2375478 2432037 3004281 4864074 5674753 6008562 7296111 11349506 14592222 17024259 34048518 51072777 102145554