Search a number
-
+
1132010424 = 2333191012731
BaseRepresentation
bin100001101111001…
…0001101110111000
32220220002002101000
41003132101232320
54304243313144
6304154525000
740023633636
oct10336215670
92826062330
101132010424
11530a99206
12277136760
131506aaa6c
14aa4b2356
15695aa769
hex43791bb8

1132010424 has 128 divisors (see below), whose sum is σ = 3343968000. Its totient is φ = 353808000.

The previous prime is 1132010419. The next prime is 1132010437. The reversal of 1132010424 is 4240102311.

1132010424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1132010397 and 1132010406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413139 + ... + 415869.

It is an arithmetic number, because the mean of its divisors is an integer number (26124750).

Almost surely, 21132010424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132010424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671984000).

1132010424 is an abundant number, since it is smaller than the sum of its proper divisors (2211957576).

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

1132010424 is a wasteful number, since it uses less digits than its factorization.

1132010424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1132010424 is about 33645.3625927854. The cubic root of 1132010424 is about 1042.1977758573.

Adding to 1132010424 its reverse (4240102311), we get a palindrome (5372112735).

The spelling of 1132010424 in words is "one billion, one hundred thirty-two million, ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 101 108 114 152 171 202 216 228 303 342 404 456 513 606 684 808 909 1026 1212 1368 1818 1919 2052 2424 2727 2731 3636 3838 4104 5454 5462 5757 7272 7676 8193 10908 10924 11514 15352 16386 17271 21816 21848 23028 24579 32772 34542 46056 49158 51813 51889 65544 69084 73737 98316 103626 103778 138168 147474 155667 196632 207252 207556 275831 294948 311334 414504 415112 467001 551662 589896 622668 827493 934002 1103324 1245336 1401003 1654986 1868004 2206648 2482479 2802006 3309972 3736008 4964958 5240789 5604012 6619944 7447437 9929916 10481578 11208024 14894874 15722367 19859832 20963156 29789748 31444734 41926312 47167101 59579496 62889468 94334202 125778936 141501303 188668404 283002606 377336808 566005212 1132010424