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102199980 = 223510715919
BaseRepresentation
bin1100001011101…
…11001010101100
321010022022000110
412011313022230
5202130344410
614050300020
72350454061
oct605671254
9233268013
10102199980
11527643a3
122a287610
1318233c7c
14d804c68
158e8b720
hex61772ac

102199980 has 48 divisors (see below), whose sum is σ = 288852480. Its totient is φ = 26996928.

The previous prime is 102199969. The next prime is 102199987. The reversal of 102199980 is 89991201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102199987) 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, 1540 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (6017760).

Almost surely, 2102199980 is an apocalyptic number.

102199980 is a gapful number since it is divisible by the number (10) 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 102199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144426240).

102199980 is an abundant number, since it is smaller than the sum of its proper divisors (186652500).

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

102199980 is a wasteful number, since it uses less digits than its factorization.

102199980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16038 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 102199980 is about 10109.4005757018. The cubic root of 102199980 is about 467.5380239217.

The spelling of 102199980 in words is "one hundred two million, one hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 15919 31838 47757 63676 79595 95514 159190 191028 238785 318380 477570 955140 1703333 3406666 5109999 6813332 8516665 10219998 17033330 20439996 25549995 34066660 51099990 102199980