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99966306 = 23112921801
BaseRepresentation
bin1011111010101…
…01110101100010
320222002210222210
411331111311202
5201042410211
613530342550
72322461646
oct575256542
9228083883
1099966306
1151479190
122958aa56
131793137b
14d3c2c26
158b999a6
hex5f55d62

99966306 has 48 divisors (see below), whose sum is σ = 226014048. Its totient is φ = 29232000.

The previous prime is 99966301. The next prime is 99966329. The reversal of 99966306 is 60366999.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99966301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54606 + ... + 56406.

It is an arithmetic number, because the mean of its divisors is an integer number (4708626).

Almost surely, 299966306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99966306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113007024).

99966306 is an abundant number, since it is smaller than the sum of its proper divisors (126047742).

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

99966306 is a wasteful number, since it uses less digits than its factorization.

99966306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 99966306 is about 9998.3151580654. The cubic root of 99966306 is about 464.1067462738.

The spelling of 99966306 in words is "ninety-nine million, nine hundred sixty-six thousand, three hundred six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 841 957 1682 1801 1914 2523 3602 5046 5403 9251 10806 18502 19811 27753 39622 52229 55506 59433 104458 118866 156687 313374 574519 1149038 1514641 1723557 3029282 3447114 4543923 9087846 16661051 33322102 49983153 99966306