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1332083020 = 225313316491
BaseRepresentation
bin100111101100101…
…1111100101001100
310102211112211101011
41033121133211030
510212003124040
6340103055004
745003342652
oct11731374514
93384484334
101332083020
11623a20764
12312141464
13182c8c108
14c8cb2dd2
157be2b3ea
hex4f65f94c

1332083020 has 48 divisors (see below), whose sum is σ = 2896782336. Its totient is φ = 514008000.

The previous prime is 1332083003. The next prime is 1332083057. The reversal of 1332083020 is 203802331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1332082982 and 1332083000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201975 + ... + 208465.

It is an arithmetic number, because the mean of its divisors is an integer number (60349632).

Almost surely, 21332083020 is an apocalyptic number.

1332083020 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 1332083020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448391168).

1332083020 is an abundant number, since it is smaller than the sum of its proper divisors (1564699316).

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

1332083020 is a wasteful number, since it uses less digits than its factorization.

1332083020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1332083020 is about 36497.7125310615. The cubic root of 1332083020 is about 1100.2982717316.

Adding to 1332083020 its reverse (203802331), we get a palindrome (1535885351).

The spelling of 1332083020 in words is "one billion, three hundred thirty-two million, eighty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 331 620 662 1324 1655 3310 6491 6620 10261 12982 20522 25964 32455 41044 51305 64910 102610 129820 201221 205220 402442 804884 1006105 2012210 2148521 4024420 4297042 8594084 10742605 21485210 42970420 66604151 133208302 266416604 333020755 666041510 1332083020