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1672097328 = 2432116611597
BaseRepresentation
bin110001110101010…
…0010111000110000
311022112100100022200
41203222202320300
511411024103303
6433530503200
756302410216
oct14352427060
94275310280
101672097328
11788945520
123a7b94b00
1320855a105
1411c100cb6
159bbe13a3
hex63aa2e30

1672097328 has 120 divisors (see below), whose sum is σ = 5115888336. Its totient is φ = 505612800.

The previous prime is 1672097327. The next prime is 1672097351. The reversal of 1672097328 is 8237902761.

It is not an unprimeable number, because it can be changed into a prime (1672097327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046226 + ... + 1047822.

Almost surely, 21672097328 is an apocalyptic number.

1672097328 is a gapful number since it is divisible by the number (18) 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 1672097328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557944168).

1672097328 is an abundant number, since it is smaller than the sum of its proper divisors (3443791008).

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

1672097328 is a wasteful number, since it uses less digits than its factorization.

1672097328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1672097328 is about 40891.2867002250. The cubic root of 1672097328 is about 1186.9174575496.

The spelling of 1672097328 in words is "one billion, six hundred seventy-two million, ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 661 792 1322 1584 1597 1983 2644 3194 3966 4791 5288 5949 6388 7271 7932 9582 10576 11898 12776 14373 14542 15864 17567 19164 21813 23796 25552 28746 29084 31728 35134 38328 43626 47592 52701 57492 58168 65439 70268 76656 87252 95184 105402 114984 116336 130878 140536 158103 174504 210804 229968 261756 281072 316206 349008 421608 523512 632412 843216 1047024 1055617 1264824 2111234 2529648 3166851 4222468 6333702 8444936 9500553 11611787 12667404 16889872 19001106 23223574 25334808 34835361 38002212 46447148 50669616 69670722 76004424 92894296 104506083 139341444 152008848 185788592 209012166 278682888 418024332 557365776 836048664 1672097328