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107246484 = 223331103311
BaseRepresentation
bin1100110010001…
…11001110010100
321110210200112000
412121013032110
5204423341414
614350355300
72441402652
oct631071624
9243720460
10107246484
11555a0964
122babbb30
13192acc77
1410359dd2
159636b09
hex6647394

107246484 has 96 divisors (see below), whose sum is σ = 290734080. Its totient is φ = 34149600.

The previous prime is 107246467. The next prime is 107246501. The reversal of 107246484 is 484642701.

107246484 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 4 + 648 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107246467) and next prime (107246501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 344689 + ... + 344999.

It is an arithmetic number, because the mean of its divisors is an integer number (3028480).

Almost surely, 2107246484 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 107246484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145367040).

107246484 is an abundant number, since it is smaller than the sum of its proper divisors (183487596).

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

107246484 is a wasteful number, since it uses less digits than its factorization.

107246484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 107246484 is about 10355.9878331331. The cubic root of 107246484 is about 475.1102001010.

The spelling of 107246484 in words is "one hundred seven million, two hundred forty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 103 108 124 186 206 279 309 311 372 412 558 618 622 837 927 933 1116 1236 1244 1674 1854 1866 2781 2799 3193 3348 3708 3732 5562 5598 6386 8397 9579 9641 11124 11196 12772 16794 19158 19282 28737 28923 32033 33588 38316 38564 57474 57846 64066 86211 86769 96099 114948 115692 128132 172422 173538 192198 260307 288297 344844 347076 384396 520614 576594 864891 993023 1041228 1153188 1729782 1986046 2979069 3459564 3972092 5958138 8937207 11916276 17874414 26811621 35748828 53623242 107246484