Search a number
-
+
1245575142 = 2327171513851
BaseRepresentation
bin100101000111101…
…1111011111100110
310012210202202212200
41022033133133212
510022331401032
6323332555330
742603133260
oct11217373746
93183682780
101245575142
1158a105049
122a9182b46
1316b090816
14bb5d4b30
157453e47c
hex4a3df7e6

1245575142 has 96 divisors (see below), whose sum is σ = 3288190464. Its totient is φ = 332640000.

The previous prime is 1245575131. The next prime is 1245575147. The reversal of 1245575142 is 2415755421.

1245575142 is a `hidden beast` number, since 1 + 2 + 45 + 575 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1245575097 and 1245575106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1245575147) 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, 321517 + ... + 325367.

It is an arithmetic number, because the mean of its divisors is an integer number (34251984).

Almost surely, 21245575142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1245575142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644095232).

1245575142 is an abundant number, since it is smaller than the sum of its proper divisors (2042615322).

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

1245575142 is a wasteful number, since it uses less digits than its factorization.

1245575142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4031 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 1245575142 is about 35292.7066403244. The cubic root of 1245575142 is about 1075.9447665618.

The spelling of 1245575142 in words is "one billion, two hundred forty-five million, five hundred seventy-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 151 153 238 302 306 357 453 714 906 1057 1071 1359 2114 2142 2567 2718 3171 3851 5134 6342 7701 7702 9513 11553 15402 17969 19026 23103 23106 26957 34659 35938 46206 53907 53914 65467 69318 80871 107814 130934 161721 161742 196401 242613 323442 392802 458269 485226 581501 589203 916538 1163002 1178406 1374807 1744503 2749614 3489006 4070507 4124421 5233509 8141014 8248842 9885517 10467018 12211521 19771034 24423042 29656551 36634563 59313102 69198619 73269126 88969653 138397238 177939306 207595857 415191714 622787571 1245575142