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107593002 = 23311315843
BaseRepresentation
bin1100110100110…
…11110100101010
321111110021212000
412122123310222
5210020434002
614402031430
72444345136
oct632336452
9244407760
10107593002
1155808240
1230048576
13193a18ca
141040a3c6
1596a461c
hex669bd2a

107593002 has 64 divisors (see below), whose sum is σ = 269291520. Its totient is φ = 31546800.

The previous prime is 107593001. The next prime is 107593007. The reversal of 107593002 is 200395701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107593001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15493 + ... + 21335.

It is an arithmetic number, because the mean of its divisors is an integer number (4207680).

Almost surely, 2107593002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107593002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134645760).

107593002 is an abundant number, since it is smaller than the sum of its proper divisors (161698518).

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

107593002 is a wasteful number, since it uses less digits than its factorization.

107593002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 107593002 is about 10372.7046617553. The cubic root of 107593002 is about 475.6213504727.

The spelling of 107593002 in words is "one hundred seven million, five hundred ninety-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 5843 6138 9207 11686 17529 18414 35058 52587 64273 105174 128546 157761 181133 192819 315522 362266 385638 543399 578457 1086798 1156914 1630197 1735371 1992463 3260394 3470742 3984926 4890591 5977389 9781182 11954778 17932167 35864334 53796501 107593002