Search a number
-
+
1332332120 = 23579534993
BaseRepresentation
bin100111101101001…
…1100011001011000
310102212000111002002
41033122130121120
510212034111440
6340112300132
745005431130
oct11732343130
93385014062
101332332120
11624080929
12312241648
13183048602
14c8d39ac0
157be7a115
hex4f69c658

1332332120 has 64 divisors (see below), whose sum is σ = 3430278720. Its totient is φ = 456228864.

The previous prime is 1332332119. The next prime is 1332332129. The reversal of 1332332120 is 212332331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1332332092 and 1332332101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332332129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264344 + ... + 269336.

It is an arithmetic number, because the mean of its divisors is an integer number (53598105).

Almost surely, 21332332120 is an apocalyptic number.

1332332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332332120 is an abundant number, since it is smaller than the sum of its proper divisors (2097946600).

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

1332332120 is a wasteful number, since it uses less digits than its factorization.

1332332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1332332120 is about 36501.1249141722. The cubic root of 1332332120 is about 1100.3668528466.

Adding to 1332332120 its reverse (212332331), we get a palindrome (1544664451).

The spelling of 1332332120 in words is "one billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 953 1906 3812 4765 4993 6671 7624 9530 9986 13342 19060 19972 24965 26684 33355 34951 38120 39944 49930 53368 66710 69902 99860 133420 139804 174755 199720 266840 279608 349510 699020 1398040 4758329 9516658 19033316 23791645 33308303 38066632 47583290 66616606 95166580 133233212 166541515 190333160 266466424 333083030 666166060 1332332120