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6080096640 = 27354177237
BaseRepresentation
bin1011010100110011…
…01110100110000000
3120200201202220121110
411222121232212000
544423001043030
62443153323320
7303445653162
oct55231564600
916621686543
106080096640
112640068662
121218266540
1375b861127
144196dc932
15258baa1b0
hex16a66e980

6080096640 has 128 divisors (see below), whose sum is σ = 19853255520. Its totient is φ = 1581793280.

The previous prime is 6080096639. The next prime is 6080096641. The reversal of 6080096640 is 466900806.

It is an interprime number because it is at equal distance from previous prime (6080096639) and next prime (6080096641).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6080096641) 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, 40102 + ... + 117338.

Almost surely, 26080096640 is an apocalyptic number.

6080096640 is a gapful number since it is divisible by the number (60) 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 6080096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926627760).

6080096640 is an abundant number, since it is smaller than the sum of its proper divisors (13773158880).

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

6080096640 is a wasteful number, since it uses less digits than its factorization.

6080096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77300 (or 77288 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6080096640 is about 77974.9744469339. The cubic root of 6080096640 is about 1825.1707242551.

The spelling of 6080096640 in words is "six billion, eighty million, ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 3280 3936 4920 5248 6560 7872 9840 13120 15744 19680 26240 39360 77237 78720 154474 231711 308948 386185 463422 617896 772370 926844 1158555 1235792 1544740 1853688 2317110 2471584 3089480 3166717 3707376 4634220 4943168 6178960 6333434 7414752 9268440 9500151 9886336 12357920 12666868 14829504 15833585 18536880 19000302 24715840 25333736 29659008 31667170 37073760 38000604 47500755 49431680 50667472 63334340 74147520 76001208 95001510 101334944 126668680 148295040 152002416 190003020 202669888 253337360 304004832 380006040 405339776 506674720 608009664 760012080 1013349440 1216019328 1520024160 2026698880 3040048320 6080096640