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661396160 = 26531611093
BaseRepresentation
bin100111011011000…
…001101011000000
31201002112101222002
4213123001223000
52323304134120
6145344003132
722250526455
oct4733015300
91632471862
10661396160
1130a3827a7
121656004a8
13a7044199
1463ba982c
153d0e9375
hex276c1ac0

661396160 has 112 divisors (see below), whose sum is σ = 1653917952. Its totient is φ = 251596800.

The previous prime is 661396121. The next prime is 661396181. The reversal of 661396160 is 61693166.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604574 + ... + 605666.

Almost surely, 2661396160 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 661396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826958976).

661396160 is an abundant number, since it is smaller than the sum of its proper divisors (992521792).

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

661396160 is a wasteful number, since it uses less digits than its factorization.

661396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 661396160 is about 25717.6235294010. The cubic root of 661396160 is about 871.2722654862.

The spelling of 661396160 in words is "six hundred sixty-one million, three hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 64 80 122 124 155 160 244 248 305 310 320 488 496 610 620 976 992 1093 1220 1240 1891 1952 1984 2186 2440 2480 3782 3904 4372 4880 4960 5465 7564 8744 9455 9760 9920 10930 15128 17488 18910 19520 21860 30256 33883 34976 37820 43720 60512 66673 67766 69952 75640 87440 121024 133346 135532 151280 169415 174880 266692 271064 302560 333365 338830 349760 533384 542128 605120 666730 677660 1066768 1084256 1333460 1355320 2066863 2133536 2168512 2666920 2710640 4133726 4267072 5333840 5421280 8267452 10334315 10667680 10842560 16534904 20668630 21335360 33069808 41337260 66139616 82674520 132279232 165349040 330698080 661396160