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1332120420 = 2232549914831
BaseRepresentation
bin100111101100110…
…1000101101100100
310102211121201200100
41033121220231210
510212010323140
6340103544100
745003560001
oct11731505544
93384551610
101332120420
11623a46874
1231215b030
13182ca3147
14c8cc28a8
157be37530
hex4f668b64

1332120420 has 72 divisors (see below), whose sum is σ = 4049136000. Its totient is φ = 354496320.

The previous prime is 1332120409. The next prime is 1332120421. The reversal of 1332120420 is 240212331.

1332120420 is a `hidden beast` number, since 1 + 33 + 212 + 0 + 420 = 666.

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 = 1332120393 and 1332120402.

It is not an unprimeable number, because it can be changed into a prime (1332120421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82405 + ... + 97235.

It is an arithmetic number, because the mean of its divisors is an integer number (56238000).

Almost surely, 21332120420 is an apocalyptic number.

1332120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024568000).

1332120420 is an abundant number, since it is smaller than the sum of its proper divisors (2717015580).

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

1332120420 is a wasteful number, since it uses less digits than its factorization.

1332120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345 (or 15340 counting only the distinct ones).

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

The square root of 1332120420 is about 36498.2248883422. The cubic root of 1332120420 is about 1100.3085690803.

Adding to 1332120420 its reverse (240212331), we get a palindrome (1572332751).

The spelling of 1332120420 in words is "one billion, three hundred thirty-two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 14831 14970 17964 22455 29662 29940 44493 44910 59324 74155 88986 89820 133479 148310 177972 222465 266958 296620 444930 533916 667395 889860 1334790 2669580 7400669 14801338 22202007 29602676 37003345 44404014 66606021 74006690 88808028 111010035 133212042 148013380 222020070 266424084 333030105 444040140 666060210 1332120420