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1073807328 = 253111676089
BaseRepresentation
bin100000000000000…
…1111111111100000
32202211120001201210
41000000033333200
54144343313303
6254315230120
735416132416
oct10000177740
92684501653
101073807328
11501155380
1225b748340
1314160c969
14a28812b6
1564410203
hex4000ffe0

1073807328 has 96 divisors (see below), whose sum is σ = 3093914880. Its totient is φ = 323394560.

The previous prime is 1073807327. The next prime is 1073807333. The reversal of 1073807328 is 8237083701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073807327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173308 + ... + 179396.

It is an arithmetic number, because the mean of its divisors is an integer number (32228280).

Almost surely, 21073807328 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 1073807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546957440).

1073807328 is an abundant number, since it is smaller than the sum of its proper divisors (2020107552).

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

1073807328 is a wasteful number, since it uses less digits than its factorization.

1073807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1073807328 is about 32768.9994964753. Note that the first 3 decimals coincide. The cubic root of 1073807328 is about 1024.0208227374.

The spelling of 1073807328 in words is "one billion, seventy-three million, eight hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 167 176 264 334 352 501 528 668 1002 1056 1336 1837 2004 2672 3674 4008 5344 5511 6089 7348 8016 11022 12178 14696 16032 18267 22044 24356 29392 36534 44088 48712 58784 66979 73068 88176 97424 133958 146136 176352 194848 200937 267916 292272 401874 535832 584544 803748 1016863 1071664 1607496 2033726 2143328 3050589 3214992 4067452 6101178 6429984 8134904 11185493 12202356 16269808 22370986 24404712 32539616 33556479 44741972 48809424 67112958 89483944 97618848 134225916 178967888 268451832 357935776 536903664 1073807328