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1132020342 = 2321967127389
BaseRepresentation
bin100001101111001…
…0100001001110110
32220220002120222100
41003132110021312
54304244122332
6304155042530
740024004565
oct10336241166
92826076870
101132020342
11530aa5702
12277140446
131506b242b
14aa4b5bdc
15695ad67c
hex43794276

1132020342 has 96 divisors (see below), whose sum is σ = 2647756800. Its totient is φ = 348473664.

The previous prime is 1132020341. The next prime is 1132020343. The reversal of 1132020342 is 2430202311.

1132020342 is a `hidden beast` number, since 1 + 1 + 320 + 2 + 0 + 342 = 666.

It is an interprime number because it is at equal distance from previous prime (1132020341) and next prime (1132020343).

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 (1132020341) 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, 2909884 + ... + 2910272.

It is an arithmetic number, because the mean of its divisors is an integer number (27580800).

Almost surely, 21132020342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132020342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323878400).

1132020342 is an abundant number, since it is smaller than the sum of its proper divisors (1515736458).

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

1132020342 is a wasteful number, since it uses less digits than its factorization.

1132020342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

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

The square root of 1132020342 is about 33645.5099827600. The cubic root of 1132020342 is about 1042.2008195535.

Adding to 1132020342 its reverse (2430202311), we get a palindrome (3562222653).

The spelling of 1132020342 in words is "one billion, one hundred thirty-two million, twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 127 134 171 201 254 342 381 389 402 603 762 778 1143 1167 1206 1273 2286 2334 2413 2546 3501 3819 4826 7002 7239 7391 7638 8509 11457 14478 14782 17018 21717 22173 22914 25527 26063 43434 44346 49403 51054 52126 66519 76581 78189 98806 133038 148209 153162 156378 161671 234567 296418 323342 444627 469134 485013 495197 889254 938657 970026 990394 1455039 1485591 1877314 2815971 2910078 2971182 3310001 4456773 5631942 6620002 8447913 8913546 9930003 16895826 19860006 29790009 59580018 62890019 125780038 188670057 377340114 566010171 1132020342