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99717960 = 2335372607
BaseRepresentation
bin1011111000110…
…01001101001000
320221122012022210
411330121031020
5201011433320
613521145120
72320405626
oct574311510
9227565283
1099717960
1151319641
122948b1a0
1317875314
14d35a516
158b4b0e0
hex5f19348

99717960 has 96 divisors (see below), whose sum is σ = 307964160. Its totient is φ = 25830144.

The previous prime is 99717929. The next prime is 99717983. The reversal of 99717960 is 6971799.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163977 + ... + 164583.

It is an arithmetic number, because the mean of its divisors is an integer number (3207960).

Almost surely, 299717960 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 99717960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153982080).

99717960 is an abundant number, since it is smaller than the sum of its proper divisors (208246200).

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

99717960 is a wasteful number, since it uses less digits than its factorization.

99717960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 48.

The square root of 99717960 is about 9985.8880426330. Note that the first 3 decimals coincide. The cubic root of 99717960 is about 463.7221012319.

The spelling of 99717960 in words is "ninety-nine million, seven hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 607 740 888 1110 1214 1369 1480 1821 2220 2428 2738 3035 3642 4107 4440 4856 5476 6070 6845 7284 8214 9105 10952 12140 13690 14568 16428 18210 20535 22459 24280 27380 32856 36420 41070 44918 54760 67377 72840 82140 89836 112295 134754 164280 179672 224590 269508 336885 449180 539016 673770 830983 898360 1347540 1661966 2492949 2695080 3323932 4154915 4985898 6647864 8309830 9971796 12464745 16619660 19943592 24929490 33239320 49858980 99717960