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45142110 = 2355131429
BaseRepresentation
bin1010110000110…
…1000001011110
310010221110100000
42230031001132
543024021420
64251315130
71055462436
oct254150136
9103843300
1045142110
1123532a32
121314baa6
139477210
145dd12c6
153e6a690
hex2b0d05e

45142110 has 96 divisors (see below), whose sum is σ = 131171040. Its totient is φ = 11104128.

The previous prime is 45142093. The next prime is 45142117. The reversal of 45142110 is 1124154.

45142110 is a `hidden beast` number, since 451 + 4 + 211 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142117) 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, 30876 + ... + 32304.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 245142110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45142110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65585520).

45142110 is an abundant number, since it is smaller than the sum of its proper divisors (86028930).

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

45142110 is a wasteful number, since it uses less digits than its factorization.

45142110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45142110 is about 6718.7878371028. The cubic root of 45142110 is about 356.0633592990.

Adding to 45142110 its reverse (1124154), we get a palindrome (46266264).

The spelling of 45142110 in words is "forty-five million, one hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1429 1755 2106 2430 2858 3159 3510 4287 5265 6318 7145 8574 10530 12861 14290 15795 18577 21435 25722 31590 37154 38583 42870 55731 64305 77166 92885 111462 115749 128610 167193 185770 192915 231498 278655 334386 347247 385830 501579 557310 578745 694494 835965 1003158 1157490 1504737 1671930 1736235 2507895 3009474 3472470 4514211 5015790 7523685 9028422 15047370 22571055 45142110