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99849680 = 2457376179
BaseRepresentation
bin1011111001110…
…01010111010000
320221212220000022
411330321113100
5201030142210
613524043012
72321464640
oct574712720
9227786008
1099849680
11513a95a7
1229533468
13178c0268
14d392520
158b75155
hex5f395d0

99849680 has 160 divisors (see below), whose sum is σ = 280458240. Its totient is φ = 32348160.

The previous prime is 99849661. The next prime is 99849683. The reversal of 99849680 is 8694899.

It is a super-2 number, since 2×998496802 = 19939917192204800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99849683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263881 + ... + 1263959.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 299849680 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 99849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140229120).

99849680 is an abundant number, since it is smaller than the sum of its proper divisors (180608560).

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

99849680 is a wasteful number, since it uses less digits than its factorization.

99849680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The square root of 99849680 is about 9992.4811733623. The cubic root of 99849680 is about 463.9261921840.

The spelling of 99849680 in words is "ninety-nine million, eight hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 61 70 74 79 80 112 122 140 148 158 185 244 259 280 296 305 316 370 395 427 488 518 553 560 592 610 632 740 790 854 976 1036 1106 1220 1264 1295 1480 1580 1708 2072 2135 2212 2257 2440 2590 2765 2923 2960 3160 3416 4144 4270 4424 4514 4819 4880 5180 5530 5846 6320 6832 8540 8848 9028 9638 10360 11060 11285 11692 14615 15799 17080 18056 19276 20461 20720 22120 22570 23384 24095 29230 31598 33733 34160 36112 38552 40922 44240 45140 46768 48190 58460 63196 67466 77104 78995 81844 90280 96380 102305 116920 126392 134932 157990 163688 168665 178303 180560 192760 204610 233840 252784 269864 315980 327376 337330 356606 385520 409220 539728 631960 674660 713212 818440 891515 1248121 1263920 1349320 1426424 1636880 1783030 2496242 2698640 2852848 3566060 4992484 6240605 7132120 9984968 12481210 14264240 19969936 24962420 49924840 99849680