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99575340 = 223553173181
BaseRepresentation
bin1011110111101…
…10011000101100
320221100221200120
411323312120230
5200442402330
613514124540
72316243054
oct573663054
9227327616
1099575340
1151231477
1229420750
1317825427
14d320564
158b1dc10
hex5ef662c

99575340 has 96 divisors (see below), whose sum is σ = 287292096. Its totient is φ = 25758720.

The previous prime is 99575323. The next prime is 99575351. The reversal of 99575340 is 4357599.

It is a super-2 number, since 2×995753402 = 19830496672231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99575292 and 99575301.

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, 550050 + ... + 550230.

It is an arithmetic number, because the mean of its divisors is an integer number (2992626).

Almost surely, 299575340 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 99575340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646048).

99575340 is an abundant number, since it is smaller than the sum of its proper divisors (187716756).

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

99575340 is a wasteful number, since it uses less digits than its factorization.

99575340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 99575340 is about 9978.7444099947. The cubic root of 99575340 is about 463.5009187383.

The spelling of 99575340 in words is "ninety-nine million, five hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 173 181 212 265 318 346 362 519 530 543 636 692 724 795 865 905 1038 1060 1086 1590 1730 1810 2076 2172 2595 2715 3180 3460 3620 5190 5430 9169 9593 10380 10860 18338 19186 27507 28779 31313 36676 38372 45845 47965 55014 57558 62626 91690 93939 95930 110028 115116 125252 137535 143895 156565 183380 187878 191860 275070 287790 313130 375756 469695 550140 575580 626260 939390 1659589 1878780 3319178 4978767 6638356 8297945 9957534 16595890 19915068 24893835 33191780 49787670 99575340