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107668548 = 223313217347
BaseRepresentation
bin1100110101011…
…10010001000100
321111121010111000
412122232101010
5210030343143
614403413300
72445111321
oct632562104
9244533430
10107668548
1155859a79
1230084230
13193ca100
1410429b48
1596bbbd3
hex66ae444

107668548 has 144 divisors (see below), whose sum is σ = 320967360. Its totient is φ = 31090176.

The previous prime is 107668529. The next prime is 107668567. The reversal of 107668548 is 845866701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107668529) and next prime (107668567).

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, 310111 + ... + 310457.

It is an arithmetic number, because the mean of its divisors is an integer number (2228940).

Almost surely, 2107668548 is an apocalyptic number.

107668548 is a gapful number since it is divisible by the number (18) 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 107668548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160483680).

107668548 is an abundant number, since it is smaller than the sum of its proper divisors (213298812).

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

107668548 is a wasteful number, since it uses less digits than its factorization.

107668548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 107668548 is about 10376.3455994873. The cubic root of 107668548 is about 475.7326429778.

The spelling of 107668548 in words is "one hundred seven million, six hundred sixty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 169 204 221 234 306 338 347 351 442 459 468 507 612 663 676 694 702 884 918 1014 1041 1326 1388 1404 1521 1836 1989 2028 2082 2652 2873 3042 3123 3978 4164 4511 4563 5746 5899 5967 6084 6246 7956 8619 9022 9126 9369 11492 11798 11934 12492 13533 17238 17697 18044 18252 18738 23596 23868 25857 27066 34476 35394 37476 40599 51714 53091 54132 58643 70788 76687 77571 81198 103428 106182 117286 121797 153374 155142 159273 162396 175929 212364 230061 234572 243594 306748 310284 318546 351858 460122 487188 527787 637092 690183 703716 920244 996931 1055574 1380366 1583361 1993862 2070549 2111148 2760732 2990793 3166722 3987724 4141098 5981586 6333444 8282196 8972379 11963172 17944758 26917137 35889516 53834274 107668548