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99991332 = 22327463857
BaseRepresentation
bin1011111010110…
…11111100100100
320222011002022200
411331123330210
5201044210312
613531054500
72322624630
oct575337444
9228132280
1099991332
1151495a71
12295a1430
131793c88c
14d3cbdc0
158ba20dc
hex5f5bf24

99991332 has 72 divisors (see below), whose sum is σ = 289825536. Its totient is φ = 28473984.

The previous prime is 99991303. The next prime is 99991343. The reversal of 99991332 is 23319999.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116248 + ... + 117104.

Almost surely, 299991332 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 99991332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144912768).

99991332 is an abundant number, since it is smaller than the sum of its proper divisors (189834204).

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

99991332 is a wasteful number, since it uses less digits than its factorization.

99991332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1332 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 99991332 is about 9999.5665906078. The cubic root of 99991332 is about 464.1454718764.

The spelling of 99991332 in words is "ninety-nine million, nine hundred ninety-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 463 857 926 1389 1714 1852 2571 2778 3241 3428 4167 5142 5556 5999 6482 7713 8334 9723 10284 11998 12964 15426 16668 17997 19446 23996 29169 30852 35994 38892 53991 58338 71988 107982 116676 215964 396791 793582 1190373 1587164 2380746 2777537 3571119 4761492 5555074 7142238 8332611 11110148 14284476 16665222 24997833 33330444 49995666 99991332