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661890880 = 2657417207
BaseRepresentation
bin100111011100111…
…010011101000000
31201010110112121001
4213130322131000
52323421002010
6145402341344
722254660010
oct4734723500
91633415531
10661890880
1130a690462
121657ba854
13a7188411
1463c97c40
153d195c3a
hex2773a740

661890880 has 112 divisors (see below), whose sum is σ = 1845478656. Its totient is φ = 221368320.

The previous prime is 661890877. The next prime is 661890881. The reversal of 661890880 is 88098166.

661890880 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 (112).

It is a self number, because there is not a number n which added to its sum of digits gives 661890880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661890881) 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, 88237 + ... + 95443.

It is an arithmetic number, because the mean of its divisors is an integer number (16477488).

Almost surely, 2661890880 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 661890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922739328).

661890880 is an abundant number, since it is smaller than the sum of its proper divisors (1183587776).

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

661890880 is a wasteful number, since it uses less digits than its factorization.

661890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 661890880 is about 25727.2400385273. The cubic root of 661890880 is about 871.4894466630.

The spelling of 661890880 in words is "six hundred sixty-one million, eight hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 280 287 320 328 410 448 560 574 656 820 1120 1148 1312 1435 1640 2240 2296 2624 2870 3280 4592 5740 6560 7207 9184 11480 13120 14414 18368 22960 28828 36035 45920 50449 57656 72070 91840 100898 115312 144140 201796 230624 252245 288280 295487 403592 461248 504490 576560 590974 807184 1008980 1153120 1181948 1477435 1614368 2017960 2068409 2306240 2363896 2954870 3228736 4035920 4136818 4727792 5909740 8071840 8273636 9455584 10342045 11819480 16143680 16547272 18911168 20684090 23638960 33094544 41368180 47277920 66189088 82736360 94555840 132378176 165472720 330945440 661890880