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99909720 = 23335791171
BaseRepresentation
bin1011111010010…
…00000001011000
320221222221101000
411331020001120
5201034102340
613525225000
72322134661
oct575100130
9227887330
1099909720
115143a719
1229562160
13179116a1
14d3aa368
158b87d30
hex5f48058

99909720 has 128 divisors (see below), whose sum is σ = 337536000. Its totient is φ = 26282880.

The previous prime is 99909713. The next prime is 99909721. The reversal of 99909720 is 2790999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99909721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84735 + ... + 85905.

It is an arithmetic number, because the mean of its divisors is an integer number (2637000).

Almost surely, 299909720 is an apocalyptic number.

99909720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99909720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168768000).

99909720 is an abundant number, since it is smaller than the sum of its proper divisors (237626280).

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

99909720 is a wasteful number, since it uses less digits than its factorization.

99909720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 99909720 is about 9995.4849807300. The cubic root of 99909720 is about 464.0191604256.

The spelling of 99909720 in words is "ninety-nine million, nine hundred nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 90 108 120 135 158 180 216 237 270 316 360 395 474 540 632 711 790 948 1080 1171 1185 1422 1580 1896 2133 2342 2370 2844 3160 3513 3555 4266 4684 4740 5688 5855 7026 7110 8532 9368 9480 10539 10665 11710 14052 14220 17064 17565 21078 21330 23420 28104 28440 31617 35130 42156 42660 46840 52695 63234 70260 84312 85320 92509 105390 126468 140520 158085 185018 210780 252936 277527 316170 370036 421560 462545 555054 632340 740072 832581 925090 1110108 1264680 1387635 1665162 1850180 2220216 2497743 2775270 3330324 3700360 4162905 4995486 5550540 6660648 8325810 9990972 11101080 12488715 16651620 19981944 24977430 33303240 49954860 99909720