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100994208 = 25371371097
BaseRepresentation
bin1100000010100…
…00110010100000
321001001001000020
412001100302200
5201323303313
614004353440
72334302520
oct601206240
9231031006
10100994208
1152010497
12299a5880
1317c011b3
14d5ad680
158cee323
hex6050ca0

100994208 has 96 divisors (see below), whose sum is σ = 305472384. Its totient is φ = 28618752.

The previous prime is 100994191. The next prime is 100994209. The reversal of 100994208 is 802499001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100994209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91516 + ... + 92612.

It is an arithmetic number, because the mean of its divisors is an integer number (3182004).

Almost surely, 2100994208 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 100994208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152736192).

100994208 is an abundant number, since it is smaller than the sum of its proper divisors (204478176).

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

100994208 is a wasteful number, since it uses less digits than its factorization.

100994208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 100994208 is about 10049.5874542192. The cubic root of 100994208 is about 465.6920484983.

The spelling of 100994208 in words is "one hundred million, nine hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1097 1644 1918 2192 2194 2877 3288 3291 3836 4384 4388 5754 6576 6582 7672 7679 8776 11508 13152 13164 15344 15358 17552 23016 23037 26328 30688 30716 35104 46032 46074 52656 61432 92064 92148 105312 122864 150289 184296 245728 300578 368592 450867 601156 737184 901734 1052023 1202312 1803468 2104046 2404624 3156069 3606936 4208092 4809248 6312138 7213872 8416184 12624276 14427744 16832368 25248552 33664736 50497104 100994208