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4097002320 = 2432528320107
BaseRepresentation
bin1111010000110011…
…0100101101010000
3101120112020021121200
43310030310231100
531342313033240
61514312551200
7203345642115
oct36414645520
911515207550
104097002320
111812718534
129640b2500
13503a55938
142ac1a490c
1518ea36930
hexf4334b50

4097002320 has 120 divisors (see below), whose sum is σ = 13808404896. Its totient is φ = 1088619264.

The previous prime is 4097002309. The next prime is 4097002339. The reversal of 4097002320 is 232007904.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193707 + ... + 213813.

Almost surely, 24097002320 is an apocalyptic number.

4097002320 is a gapful number since it is divisible by the number (40) 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 4097002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904202448).

4097002320 is an abundant number, since it is smaller than the sum of its proper divisors (9711402576).

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

4097002320 is a wasteful number, since it uses less digits than its factorization.

4097002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409 (or 20400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4097002320 is about 64007.8301460064. The cubic root of 4097002320 is about 1600.1304997725.

The spelling of 4097002320 in words is "four billion, ninety-seven million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 283 360 566 720 849 1132 1415 1698 2264 2547 2830 3396 4245 4528 5094 5660 6792 8490 10188 11320 12735 13584 16980 20107 20376 22640 25470 33960 40214 40752 50940 60321 67920 80428 100535 101880 120642 160856 180963 201070 203760 241284 301605 321712 361926 402140 482568 603210 723852 804280 904815 965136 1206420 1447704 1608560 1809630 2412840 2895408 3619260 4825680 5690281 7238520 11380562 14477040 17070843 22761124 28451405 34141686 45522248 51212529 56902810 68283372 85354215 91044496 102425058 113805620 136566744 170708430 204850116 227611240 256062645 273133488 341416860 409700232 455222480 512125290 682833720 819400464 1024250580 1365667440 2048501160 4097002320