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80938200 = 23352722753
BaseRepresentation
bin1001101001100…
…00010011011000
312122022002100010
410310300103120
5131210010300
612010441520
72001651300
oct464602330
9178262303
1080938200
1141762082
12231332a0
13139cb435
14aa6c600
15718ba50
hex4d304d8

80938200 has 144 divisors (see below), whose sum is σ = 291979080. Its totient is φ = 18493440.

The previous prime is 80938199. The next prime is 80938201. The reversal of 80938200 is 283908.

It is an interprime number because it is at equal distance from previous prime (80938199) and next prime (80938201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80938201) 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 35 ways as a sum of consecutive naturals, for example, 28024 + ... + 30776.

Almost surely, 280938200 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 80938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145989540).

80938200 is an abundant number, since it is smaller than the sum of its proper divisors (211040880).

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

80938200 is a wasteful number, since it uses less digits than its factorization.

80938200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 80938200 is about 8996.5660115402. The cubic root of 80938200 is about 432.5648047948.

The spelling of 80938200 in words is "eighty million, nine hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2753 2940 3675 4200 4900 5506 5880 7350 8259 9800 11012 13765 14700 16518 19271 22024 27530 29400 33036 38542 41295 55060 57813 66072 68825 77084 82590 96355 110120 115626 134897 137650 154168 165180 192710 206475 231252 269794 275300 289065 330360 385420 404691 412950 462504 481775 539588 550600 578130 674485 770840 809382 825900 963550 1079176 1156260 1348970 1445325 1618764 1651800 1927100 2023455 2312520 2697940 2890650 3237528 3372425 3854200 4046910 5395880 5781300 6744850 8093820 10117275 11562600 13489700 16187640 20234550 26979400 40469100 80938200