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999672480 = 253251634259
BaseRepresentation
bin111011100101011…
…100101010100000
32120200001121211200
4323211130222200
54021404004410
6243110241200
733526035012
oct7345345240
92520047750
10999672480
1147331a804
1223a956200
1312c1540a1
1496aa41b2
155cb693c0
hex3b95caa0

999672480 has 144 divisors (see below), whose sum is σ = 3433116960. Its totient is φ = 264881664.

The previous prime is 999672473. The next prime is 999672481. The reversal of 999672480 is 84276999.

999672480 is a `hidden beast` number, since 9 + 9 + 96 + 72 + 480 = 666.

999672480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (999672481) 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, 232591 + ... + 236849.

It is an arithmetic number, because the mean of its divisors is an integer number (23841090).

Almost surely, 2999672480 is an apocalyptic number.

999672480 is a gapful number since it is divisible by the number (90) 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 999672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716558480).

999672480 is an abundant number, since it is smaller than the sum of its proper divisors (2433444480).

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

999672480 is a wasteful number, since it uses less digits than its factorization.

999672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 999672480 is about 31617.5976316987. The cubic root of 999672480 is about 999.8908147457.

The spelling of 999672480 in words is "nine hundred ninety-nine million, six hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 815 978 1304 1440 1467 1630 1956 2445 2608 2934 3260 3912 4259 4890 5216 5868 6520 7335 7824 8518 9780 11736 12777 13040 14670 15648 17036 19560 21295 23472 25554 26080 29340 34072 38331 39120 42590 46944 51108 58680 63885 68144 76662 78240 85180 102216 117360 127770 136288 153324 170360 191655 204432 234720 255540 306648 340720 383310 408864 511080 613296 681440 694217 766620 1022160 1226592 1388434 1533240 2044320 2082651 2776868 3066480 3471085 4165302 5553736 6132960 6247953 6942170 8330604 10413255 11107472 12495906 13884340 16661208 20826510 22214944 24991812 27768680 31239765 33322416 41653020 49983624 55537360 62479530 66644832 83306040 99967248 111074720 124959060 166612080 199934496 249918120 333224160 499836240 999672480