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192307680 = 25325831609
BaseRepresentation
bin10110111011001…
…10000111100000
3111101212020112200
423131212013200
5343212321210
631025453200
74523405535
oct1335460740
9441766480
10192307680
1199609674
12544a1200
1330ac2c36
141b77cd8c
1511d3a0c0
hexb7661e0

192307680 has 144 divisors (see below), whose sum is σ = 664569360. Its totient is φ = 50632704.

The previous prime is 192307679. The next prime is 192307697. The reversal of 192307680 is 86703291.

192307680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

192307680 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 118716 + ... + 120324.

It is an arithmetic number, because the mean of its divisors is an integer number (4615065).

Almost surely, 2192307680 is an apocalyptic number.

192307680 is a gapful number since it is divisible by the number (10) 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 192307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332284680).

192307680 is an abundant number, since it is smaller than the sum of its proper divisors (472261680).

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

192307680 is a wasteful number, since it uses less digits than its factorization.

192307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 192307680 is about 13867.5044618706. The cubic root of 192307680 is about 577.2078243184.

The spelling of 192307680 in words is "one hundred ninety-two million, three hundred seven thousand, six 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 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1609 1660 1992 2490 2656 2988 3218 3320 3735 3984 4827 4980 5976 6436 6640 7470 7968 8045 9654 9960 11952 12872 13280 14481 14940 16090 19308 19920 23904 24135 25744 28962 29880 32180 38616 39840 48270 51488 57924 59760 64360 72405 77232 96540 115848 119520 128720 133547 144810 154464 193080 231696 257440 267094 289620 386160 400641 463392 534188 579240 667735 772320 801282 1068376 1158480 1201923 1335470 1602564 2003205 2136752 2316960 2403846 2670940 3205128 4006410 4273504 4807692 5341880 6009615 6410256 8012820 9615384 10683760 12019230 12820512 16025640 19230768 21367520 24038460 32051280 38461536 48076920 64102560 96153840 192307680