Search a number
-
+
666649760 = 2557613971
BaseRepresentation
bin100111101111000…
…100010010100000
31201110102022112212
4213233010102200
52331130243020
6150052341252
722343300210
oct4757042240
91643368485
10666649760
11312340917
12167314828
13a816351a
1464776240
153d7d5cc5
hex27bc44a0

666649760 has 96 divisors (see below), whose sum is σ = 1804747392. Its totient is φ = 227957760.

The previous prime is 666649667. The next prime is 666649771. The reversal of 666649760 is 67946666.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 666649699 and 666649708.

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, 686075 + ... + 687045.

It is an arithmetic number, because the mean of its divisors is an integer number (18799452).

Almost surely, 2666649760 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 666649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902373696).

666649760 is an abundant number, since it is smaller than the sum of its proper divisors (1138097632).

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

666649760 is a wasteful number, since it uses less digits than its factorization.

666649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The square root of 666649760 is about 25819.5615764482. The cubic root of 666649760 is about 873.5730800070.

The spelling of 666649760 in words is "six hundred sixty-six million, six hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 613 971 1120 1226 1942 2452 3065 3884 4291 4855 4904 6130 6797 7768 8582 9710 9808 12260 13594 15536 17164 19420 19616 21455 24520 27188 31072 33985 34328 38840 42910 49040 54376 67970 68656 77680 85820 98080 108752 135940 137312 155360 171640 217504 271880 343280 543760 595223 686560 1087520 1190446 2380892 2976115 4166561 4761784 5952230 8333122 9523568 11904460 16666244 19047136 20832805 23808920 33332488 41665610 47617840 66664976 83331220 95235680 133329952 166662440 333324880 666649760