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672296128 = 2676173337
BaseRepresentation
bin101000000100100…
…110110011000000
31201212001011220121
4220010212303000
52334101434003
6150413350024
722442265010
oct5004466300
91655034817
10672296128
11315548039
12169198314
13a938c57a
1465405c40
153e04dcbd
hex28126cc0

672296128 has 112 divisors (see below), whose sum is σ = 1575555904. Its totient is φ = 278691840.

The previous prime is 672296111. The next prime is 672296159. The reversal of 672296128 is 821692276.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1994776 + ... + 1995112.

Almost surely, 2672296128 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 672296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787777952).

672296128 is an abundant number, since it is smaller than the sum of its proper divisors (903259776).

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

672296128 is a wasteful number, since it uses less digits than its factorization.

672296128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 672296128 is about 25928.6738573341. The cubic root of 672296128 is about 876.0324696235.

The spelling of 672296128 in words is "six hundred seventy-two million, two hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 73 112 122 146 224 244 292 337 427 448 488 511 584 674 854 976 1022 1168 1348 1708 1952 2044 2336 2359 2696 3416 3904 4088 4453 4672 4718 5392 6832 8176 8906 9436 10784 13664 16352 17812 18872 20557 21568 24601 27328 31171 32704 35624 37744 41114 49202 62342 71248 75488 82228 98404 124684 142496 143899 150976 164456 172207 196808 249368 284992 287798 328912 344414 393616 498736 575596 657824 688828 787232 997472 1151192 1315648 1377656 1500661 1574464 1994944 2302384 2755312 3001322 4604768 5510624 6002644 9209536 10504627 11021248 12005288 21009254 24010576 42018508 48021152 84037016 96042304 168074032 336148064 672296128