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204547680 = 253555261
BaseRepresentation
bin11000011000100…
…10011001100000
3112020220002200000
430030102121200
5404331011210
632144100000
75032424631
oct1414223140
9466802600
10204547680
11a5509777
1258604600
13334ba23c
141d247888
1512e56ac0
hexc312660

204547680 has 144 divisors (see below), whose sum is σ = 724009104. Its totient is φ = 54535680.

The previous prime is 204547649. The next prime is 204547697. The reversal of 204547680 is 86745402.

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, 36250 + ... + 41510.

It is an arithmetic number, because the mean of its divisors is an integer number (5027841).

Almost surely, 2204547680 is an apocalyptic number.

204547680 is a gapful number since it is divisible by the number (20) 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 204547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362004552).

204547680 is an abundant number, since it is smaller than the sum of its proper divisors (519461424).

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

204547680 is an equidigital number, since it uses as much as digits as its factorization.

204547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204547680 is about 14302.0166410195. The cubic root of 204547680 is about 589.2028687314.

The spelling of 204547680 in words is "two hundred four million, five hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 5261 6480 7776 9720 10522 12960 15783 19440 21044 26305 31566 38880 42088 47349 52610 63132 78915 84176 94698 105220 126264 142047 157830 168352 189396 210440 236745 252528 284094 315660 378792 420880 426141 473490 505056 568188 631320 710235 757584 841760 852282 946980 1136376 1262640 1278423 1420470 1515168 1704564 1893960 2130705 2272752 2525280 2556846 2840940 3409128 3787920 4261410 4545504 5113692 5681880 6392115 6818256 7575840 8522820 10227384 11363760 12784230 13636512 17045640 20454768 22727520 25568460 34091280 40909536 51136920 68182560 102273840 204547680