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99998640 = 24325719841
BaseRepresentation
bin1011111010111…
…01101110110000
320222011110100100
411331131232300
5201044424030
613531152400
72322655140
oct575355660
9228143310
1099998640
11514a0505
12295a5700
1317942cc1
14d3d0920
158ba4360
hex5f5dbb0

99998640 has 120 divisors (see below), whose sum is σ = 383823648. Its totient is φ = 22855680.

The previous prime is 99998611. The next prime is 99998663. The reversal of 99998640 is 4689999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

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 23 ways as a sum of consecutive naturals, for example, 4881 + ... + 14960.

Almost surely, 299998640 is an apocalyptic number.

99998640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99998640 is an abundant number, since it is smaller than the sum of its proper divisors (283825008).

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

99998640 is a wasteful number, since it uses less digits than its factorization.

99998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19867 (or 19858 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 99998640 is about 9999.9319997688. The cubic root of 99998640 is about 464.1567791648.

The spelling of 99998640 in words is "ninety-nine million, nine hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 19841 39682 59523 79364 99205 119046 138887 158728 178569 198410 238092 277774 297615 317456 357138 396820 416661 476184 555548 595230 694435 714276 793640 833322 892845 952368 1111096 1190460 1249983 1388870 1428552 1587280 1666644 1785690 2083305 2222192 2380920 2499966 2777740 2857104 3333288 3571380 4166610 4761840 4999932 5555480 6249915 6666576 7142760 8333220 9999864 11110960 12499830 14285520 16666440 19999728 24999660 33332880 49999320 99998640