Search a number
-
+
102541032 = 233311103419
BaseRepresentation
bin1100001110010…
…10011011101000
321010221121212000
412013022123220
5202222303112
614101451000
72353404306
oct607123350
9233847760
10102541032
1152977660
122a410a60
1318323289
14d893276
1590077dc
hex61ca6e8

102541032 has 128 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 30697920.

The previous prime is 102541027. The next prime is 102541037. The reversal of 102541032 is 230145201.

It is an interprime number because it is at equal distance from previous prime (102541027) and next prime (102541037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102540996 and 102541014.

It is not an unprimeable number, because it can be changed into a prime (102541037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 244519 + ... + 244937.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2102541032 is an apocalyptic number.

102541032 is a gapful number since it is divisible by the number (12) 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 102541032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

102541032 is an abundant number, since it is smaller than the sum of its proper divisors (211954968).

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

102541032 is a wasteful number, since it uses less digits than its factorization.

102541032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102541032 is about 10126.2545889386. The cubic root of 102541032 is about 468.0575208721.

Adding to 102541032 its reverse (230145201), we get a palindrome (332686233).

The spelling of 102541032 in words is "one hundred two million, five hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 103 108 132 198 206 216 264 297 309 396 412 419 594 618 792 824 838 927 1133 1188 1236 1257 1676 1854 2266 2376 2472 2514 2781 3352 3399 3708 3771 4532 4609 5028 5562 6798 7416 7542 9064 9218 10056 10197 11124 11313 13596 13827 15084 18436 20394 22248 22626 27192 27654 30168 30591 36872 40788 41481 43157 45252 55308 61182 81576 82962 86314 90504 110616 122364 124443 129471 165924 172628 244728 248886 258942 331848 345256 388413 474727 497772 517884 776826 949454 995544 1035768 1165239 1424181 1553652 1898908 2330478 2848362 3107304 3797816 4272543 4660956 5696724 8545086 9321912 11393448 12817629 17090172 25635258 34180344 51270516 102541032