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99406332 = 22336179191
BaseRepresentation
bin1011110110011…
…01000111111100
320221001100212000
411323031013330
5200422000312
613510342300
72314640244
oct573150774
9227040760
1099406332
11511264a3
122935a990
131779651c
14d2b8b24
158ad8adc
hex5ecd1fc

99406332 has 96 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 32011200.

The previous prime is 99406331. The next prime is 99406339. The reversal of 99406332 is 23360499.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99406331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520357 + ... + 520547.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 299406332 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 99406332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

99406332 is an abundant number, since it is smaller than the sum of its proper divisors (167243268).

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

99406332 is a wasteful number, since it uses less digits than its factorization.

99406332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 99406332 is about 9970.2724135301. The cubic root of 99406332 is about 463.2385387677.

The spelling of 99406332 in words is "ninety-nine million, four hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 79 108 122 158 183 191 237 244 316 366 382 474 549 573 711 732 764 948 1098 1146 1422 1647 1719 2133 2196 2292 2844 3294 3438 4266 4819 5157 6588 6876 8532 9638 10314 11651 14457 15089 19276 20628 23302 28914 30178 34953 43371 45267 46604 57828 60356 69906 86742 90534 104859 130113 135801 139812 173484 181068 209718 260226 271602 314577 407403 419436 520452 543204 629154 814806 920429 1258308 1629612 1840858 2761287 3681716 5522574 8283861 11045148 16567722 24851583 33135444 49703166 99406332