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99353040 = 24353471193
BaseRepresentation
bin1011110110000…
…00000111010000
320220221122202020
411323000013100
5200413244130
613505251440
72314326003
oct573000720
9226848666
1099353040
115109a456
1229333b80
13177781a7
14d2a353a
158ac7e10
hex5ec01d0

99353040 has 80 divisors (see below), whose sum is σ = 309140928. Its totient is φ = 26395648.

The previous prime is 99353039. The next prime is 99353041. The reversal of 99353040 is 4035399.

It is an interprime number because it is at equal distance from previous prime (99353039) and next prime (99353041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 99352992 and 99353010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99353041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82684 + ... + 83876.

Almost surely, 299353040 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 99353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154570464).

99353040 is an abundant number, since it is smaller than the sum of its proper divisors (209787888).

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

99353040 is a wasteful number, since it uses less digits than its factorization.

99353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 99353040 is about 9967.5995104137. The cubic root of 99353040 is about 463.1557428311.

The spelling of 99353040 in words is "ninety-nine million, three hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1193 1388 1735 2082 2386 2776 3470 3579 4164 4772 5205 5552 5965 6940 7158 8328 9544 10410 11930 13880 14316 16656 17895 19088 20820 23860 27760 28632 35790 41640 47720 57264 71580 83280 95440 143160 286320 413971 827942 1241913 1655884 2069855 2483826 3311768 4139710 4967652 6209565 6623536 8279420 9935304 12419130 16558840 19870608 24838260 33117680 49676520 99353040