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1332421120 = 2952631979
BaseRepresentation
bin100111101101011…
…0010001000000000
310102212012000011101
41033122302020000
510212044433440
6340114224144
745006251452
oct11732621000
93385160141
101332421120
11624131788
12312285054
13183079c84
14c8d602d2
157be9669a
hex4f6b2200

1332421120 has 80 divisors (see below), whose sum is σ = 3208455360. Its totient is φ = 530673664.

The previous prime is 1332421049. The next prime is 1332421141. The reversal of 1332421120 is 211242331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672291 + ... + 674269.

It is an arithmetic number, because the mean of its divisors is an integer number (40105692).

Almost surely, 21332421120 is an apocalyptic number.

1332421120 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 1332421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604227680).

1332421120 is an abundant number, since it is smaller than the sum of its proper divisors (1876034240).

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

1332421120 is an equidigital number, since it uses as much as digits as its factorization.

1332421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1332421120 is about 36502.3440343220. The cubic root of 1332421120 is about 1100.3913538620.

Adding to 1332421120 its reverse (211242331), we get a palindrome (1543663451).

The spelling of 1332421120 in words is "one billion, three hundred thirty-two million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 263 320 512 526 640 1052 1280 1315 1979 2104 2560 2630 3958 4208 5260 7916 8416 9895 10520 15832 16832 19790 21040 31664 33664 39580 42080 63328 67328 79160 84160 126656 134656 158320 168320 253312 316640 336640 506624 520477 633280 673280 1013248 1040954 1266560 2081908 2533120 2602385 4163816 5066240 5204770 8327632 10409540 16655264 20819080 33310528 41638160 66621056 83276320 133242112 166552640 266484224 333105280 666210560 1332421120