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661268300 = 2252711157547
BaseRepresentation
bin100111011010100…
…010011101001100
31201002021220120112
4213122202131030
52323241041200
6145341135152
722246454630
oct4732423514
91632256515
10661268300
1130a2a5730
1216555a4b8
13a6ccac24
1463b74dc0
153d0c1535
hex276a274c

661268300 has 144 divisors (see below), whose sum is σ = 1803717888. Its totient is φ = 204422400.

The previous prime is 661268297. The next prime is 661268317. The reversal of 661268300 is 3862166.

661268300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208627 + ... + 1209173.

Almost surely, 2661268300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661268300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901858944).

661268300 is an abundant number, since it is smaller than the sum of its proper divisors (1142449588).

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

661268300 is a wasteful number, since it uses less digits than its factorization.

661268300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 661268300 is about 25715.1375652552. The cubic root of 661268300 is about 871.2161175686.

The spelling of 661268300 in words is "six hundred sixty-one million, two hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 157 175 220 275 308 314 350 385 547 550 628 700 770 785 1094 1099 1100 1540 1570 1727 1925 2188 2198 2735 3140 3454 3829 3850 3925 4396 5470 5495 6017 6908 7658 7700 7850 8635 10940 10990 12034 12089 13675 15316 15700 17270 19145 21980 24068 24178 27350 27475 30085 34540 38290 42119 43175 48356 54700 54950 60170 60445 76580 84238 85879 86350 95725 109900 120340 120890 150425 168476 171758 172700 191450 210595 241780 300850 302225 343516 382900 421190 429395 601153 601700 604450 842380 858790 944669 1052975 1202306 1208900 1717580 1889338 2105950 2146975 2404612 3005765 3778676 4211900 4293950 4723345 6011530 6612683 8587900 9446690 12023060 13225366 15028825 18893380 23616725 26450732 30057650 33063415 47233450 60115300 66126830 94466900 132253660 165317075 330634150 661268300