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99705606 = 237111321277
BaseRepresentation
bin1011111000101…
…10001100000110
320221121120101020
411330112030012
5201011034411
613521012010
72320324620
oct574261406
9227546336
1099705606
1151310330
1229484006
131786c800
14d355c10
158b47606
hex5f16306

99705606 has 96 divisors (see below), whose sum is σ = 269422848. Its totient is φ = 23886720.

The previous prime is 99705589. The next prime is 99705607. The reversal of 99705606 is 60650799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99705607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 77440 + ... + 78716.

It is an arithmetic number, because the mean of its divisors is an integer number (2806488).

Almost surely, 299705606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99705606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134711424).

99705606 is an abundant number, since it is smaller than the sum of its proper divisors (169717242).

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

99705606 is a wasteful number, since it uses less digits than its factorization.

99705606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 99705606 is about 9985.2694505456. The cubic root of 99705606 is about 463.7029503540.

It can be divided in two parts, 9970 and 5606, that added together give a triangular number (15576 = T176).

The spelling of 99705606 in words is "ninety-nine million, seven hundred five thousand, six hundred six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1277 1859 2002 2366 2554 3003 3549 3718 3831 5577 6006 7098 7662 8939 11154 13013 14047 16601 17878 26026 26817 28094 33202 39039 42141 49803 53634 78078 84282 98329 99606 116207 182611 196658 215813 232414 294987 348621 365222 431626 547833 589974 647439 697242 1095666 1278277 1294878 1510691 2373943 2556554 3021382 3834831 4532073 4747886 7121829 7669662 9064146 14243658 16617601 33235202 49852803 99705606