Search a number
-
+
1142332002 = 23273533491
BaseRepresentation
bin100010000010110…
…1001101001100010
32221121111110220200
41010011221221202
54314414111002
6305204050030
740210443000
oct10405515142
92847443820
101142332002
115368a8a39
1227a693916
13152882ac6
14ab9dba70
156a448b1c
hex44169a62

1142332002 has 96 divisors (see below), whose sum is σ = 2941660800. Its totient is φ = 320130720.

The previous prime is 1142332001. The next prime is 1142332057. The reversal of 1142332002 is 2002332411.

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

It is not an unprimeable number, because it can be changed into a prime (1142332001) 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, 325477 + ... + 328967.

It is an arithmetic number, because the mean of its divisors is an integer number (30642300).

Almost surely, 21142332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470830400).

1142332002 is an abundant number, since it is smaller than the sum of its proper divisors (1799328798).

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

1142332002 is a wasteful number, since it uses less digits than its factorization.

1142332002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1142332002 is about 33798.4023586915. The cubic root of 1142332002 is about 1045.3557550374.

Adding to 1142332002 its reverse (2002332411), we get a palindrome (3144664413).

The spelling of 1142332002 in words is "one billion, one hundred forty-two million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 343 371 441 477 686 742 882 954 1029 1113 2058 2226 2597 3087 3339 3491 5194 6174 6678 6982 7791 10473 15582 18179 20946 23373 24437 31419 36358 46746 48874 54537 62838 73311 109074 146622 163611 171059 185023 219933 327222 342118 370046 439866 513177 555069 1026354 1110138 1197413 1295161 1539531 1665207 2394826 2590322 3079062 3330414 3592239 3885483 7184478 7770966 9066127 10776717 11656449 18132254 21553434 23312898 27198381 54396762 63462889 81595143 126925778 163190286 190388667 380777334 571166001 1142332002