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99045180 = 22345134703
BaseRepresentation
bin1011110011101…
…00111100111100
320220101000110000
411321310330330
5200323421210
613454514300
72311604313
oct571647474
9226330400
1099045180
11509aa123
1229205990
131769b020
14d22327a
158a66ac0
hex5e74f3c

99045180 has 120 divisors (see below), whose sum is σ = 334680192. Its totient is φ = 24375168.

The previous prime is 99045169. The next prime is 99045197. The reversal of 99045180 is 8154099.

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

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 39 ways as a sum of consecutive naturals, for example, 18709 + ... + 23411.

Almost surely, 299045180 is an apocalyptic number.

99045180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99045180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167340096).

99045180 is an abundant number, since it is smaller than the sum of its proper divisors (235635012).

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

99045180 is a wasteful number, since it uses less digits than its factorization.

99045180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 99045180 is about 9952.1444925202. The cubic root of 99045180 is about 462.6768624775.

It can be divided in two parts, 99045 and 180, that added together give a square (99225 = 3152).

The spelling of 99045180 in words is "ninety-nine million, forty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 4703 5265 7020 9406 10530 14109 18812 21060 23515 28218 42327 47030 56436 61139 70545 84654 94060 122278 126981 141090 169308 183417 211635 244556 253962 282180 305695 366834 380943 423270 507924 550251 611390 634905 733668 761886 846540 917085 1100502 1222780 1269810 1523772 1650753 1834170 1904715 2201004 2539620 2751255 3301506 3668340 3809430 4952259 5502510 6603012 7618860 8253765 9904518 11005020 16507530 19809036 24761295 33015060 49522590 99045180