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99099120 = 243517107227
BaseRepresentation
bin1011110100000…
…10000111110000
320220110202102210
411322002013300
5200332132440
613500012120
72312220501
oct572020760
9226422383
1099099120
1150a366aa
1229231040
13176b9743
14d238ba8
158a77a80
hex5e821f0

99099120 has 160 divisors (see below), whose sum is σ = 329764608. Its totient is φ = 24530944.

The previous prime is 99099113. The next prime is 99099149. The reversal of 99099120 is 2199099.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436447 + ... + 436673.

Almost surely, 299099120 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 99099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164882304).

99099120 is an abundant number, since it is smaller than the sum of its proper divisors (230665488).

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

99099120 is a wasteful number, since it uses less digits than its factorization.

99099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 99099120 is about 9954.8540923511. The cubic root of 99099120 is about 462.7608385002.

The spelling of 99099120 in words is "ninety-nine million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 107 120 136 170 204 214 227 240 255 272 321 340 408 428 454 510 535 642 680 681 816 856 908 1020 1070 1135 1284 1360 1362 1605 1712 1816 1819 2040 2140 2270 2568 2724 3210 3405 3632 3638 3859 4080 4280 4540 5136 5448 5457 6420 6810 7276 7718 8560 9080 9095 10896 10914 11577 12840 13620 14552 15436 18160 18190 19295 21828 23154 24289 25680 27240 27285 29104 30872 36380 38590 43656 46308 48578 54480 54570 57885 61744 72760 72867 77180 87312 92616 97156 109140 115770 121445 145520 145734 154360 185232 194312 218280 231540 242890 291468 308720 364335 388624 412913 436560 463080 485780 582936 728670 825826 926160 971560 1165872 1238739 1457340 1651652 1943120 2064565 2477478 2914680 3303304 4129130 4954956 5829360 6193695 6606608 8258260 9909912 12387390 16516520 19819824 24774780 33033040 49549560 99099120