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99336132 = 2234726257
BaseRepresentation
bin1011110101110…
…11111111000100
320220220210120000
411322323333010
5200412224012
613505041300
72314225500
oct572737704
9226823500
1099336132
1151088785
1229326230
131777059c
14d29b300
158ac2ddc
hex5ebbfc4

99336132 has 90 divisors (see below), whose sum is σ = 302129982. Its totient is φ = 28377216.

The previous prime is 99336131. The next prime is 99336163. The reversal of 99336132 is 23163399.

It is a happy number.

99336132 is a `hidden beast` number, since 9 + 9 + 33 + 613 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99082116 + 254016 = 9954^2 + 504^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99336131) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12748 + ... + 19004.

Almost surely, 299336132 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 99336132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151064991).

99336132 is an abundant number, since it is smaller than the sum of its proper divisors (202793850).

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

99336132 is a wasteful number, since it uses less digits than its factorization.

99336132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6269 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 99336132 is about 9966.7513262848. The cubic root of 99336132 is about 463.1294679042.

The spelling of 99336132 in words is "ninety-nine million, three hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 6257 7938 12514 15876 18771 25028 37542 43799 56313 75084 87598 112626 131397 168939 175196 225252 262794 306593 337878 394191 506817 525588 613186 675756 788382 919779 1013634 1182573 1226372 1576764 1839558 2027268 2365146 2759337 3547719 3679116 4730292 5518674 7095438 8278011 11037348 14190876 16556022 24834033 33112044 49668066 99336132