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1330672392 = 233272939011
BaseRepresentation
bin100111101010000…
…0111001100001000
310102201220011100200
41033110013030020
510211123004032
6340012532200
744655346230
oct11724071410
93381804320
101330672392
11623147955
12311781060
131828b701a
14c8a26cc0
157bc4d47c
hex4f507308

1330672392 has 96 divisors (see below), whose sum is σ = 4133263680. Its totient is φ = 378852480.

The previous prime is 1330672381. The next prime is 1330672459. The reversal of 1330672392 is 2932760331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143167 + ... + 152177.

It is an arithmetic number, because the mean of its divisors is an integer number (43054830).

Almost surely, 21330672392 is an apocalyptic number.

1330672392 is a gapful number since it is divisible by the number (12) 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 1330672392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066631840).

1330672392 is an abundant number, since it is smaller than the sum of its proper divisors (2802591288).

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

1330672392 is a wasteful number, since it uses less digits than its factorization.

1330672392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1330672392 is about 36478.3825299313. The cubic root of 1330672392 is about 1099.9097424566.

The spelling of 1330672392 in words is "one billion, three hundred thirty million, six hundred seventy-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 293 504 586 879 1172 1758 2051 2344 2637 3516 4102 5274 6153 7032 8204 9011 10548 12306 16408 18022 18459 21096 24612 27033 36044 36918 49224 54066 63077 72088 73836 81099 108132 126154 147672 162198 189231 216264 252308 324396 378462 504616 567693 648792 756924 1135386 1513848 2270772 2640223 4541544 5280446 7920669 10560892 15841338 18481561 21121784 23762007 31682676 36963122 47524014 55444683 63365352 73926244 95048028 110889366 147852488 166334049 190096056 221778732 332668098 443557464 665336196 1330672392