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99991350 = 23252239661
BaseRepresentation
bin1011111010110…
…11111100110110
320222011002100100
411331123330312
5201044210400
613531054530
72322624654
oct575337466
9228132310
1099991350
1151495a88
12295a1446
131793c8a4
14d3cbdd4
158ba2100
hex5f5bf36

99991350 has 72 divisors (see below), whose sum is σ = 280352592. Its totient is φ = 25502400.

The previous prime is 99991343. The next prime is 99991363. The reversal of 99991350 is 5319999.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 99991296 and 99991305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5520 + ... + 15180.

It is an arithmetic number, because the mean of its divisors is an integer number (3893786).

Almost surely, 299991350 is an apocalyptic number.

99991350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99991350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140176296).

99991350 is an abundant number, since it is smaller than the sum of its proper divisors (180361242).

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

99991350 is a wasteful number, since it uses less digits than its factorization.

99991350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 99991350 is about 9999.5674906468. The cubic root of 99991350 is about 464.1454997276.

The spelling of 99991350 in words is "ninety-nine million, nine hundred ninety-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 9661 10350 19322 28983 48305 57966 86949 96610 144915 173898 222203 241525 289830 434745 444406 483050 666609 724575 869490 1111015 1333218 1449150 1999827 2173725 2222030 3333045 3999654 4347450 5555075 6666090 9999135 11110150 16665225 19998270 33330450 49995675 99991350