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1321403072 = 26114343651
BaseRepresentation
bin100111011000011…
…0000001011000000
310102002110020020112
41032300300023000
510201234344242
6335042130452
744513512043
oct11660601300
93362406215
101321403072
11618996760
1230a650a28
131809bcc12
14c76d2c5a
157b01bc82
hex4ec302c0

1321403072 has 56 divisors (see below), whose sum is σ = 2927128512. Its totient is φ = 586656000.

The previous prime is 1321403071. The next prime is 1321403113. The reversal of 1321403072 is 2703041231.

It is a super-2 number, since 2×13214030722 = 3492212157382074368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321403071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8447 + ... + 52097.

It is an arithmetic number, because the mean of its divisors is an integer number (52270152).

Almost surely, 21321403072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463564256).

1321403072 is an abundant number, since it is smaller than the sum of its proper divisors (1605725440).

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

1321403072 is a wasteful number, since it uses less digits than its factorization.

1321403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43717 (or 43707 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 1321403072 is about 36351.1082637105. The cubic root of 1321403072 is about 1097.3498384400.

The spelling of 1321403072 in words is "one billion, three hundred twenty-one million, four hundred three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7568 15136 30272 43651 87302 174604 349208 480161 698416 960322 1396832 1876993 1920644 2793664 3753986 3841288 7507972 7682576 15015944 15365152 20646923 30031888 30730304 41293846 60063776 82587692 120127552 165175384 330350768 660701536 1321403072