Search a number
-
+
102369080 = 235111971181
BaseRepresentation
bin1100001101000…
…00011100111000
321010121212222102
412012200130320
5202201302310
614054042532
72352060062
oct606403470
9233555872
10102369080
115286a450
122a349448
1318292c28
14d84a732
158ec18a5
hex61a0738

102369080 has 64 divisors (see below), whose sum is σ = 252758880. Its totient is φ = 37004800.

The previous prime is 102369077. The next prime is 102369089. The reversal of 102369080 is 80963201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102369089) 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 15 ways as a sum of consecutive naturals, for example, 86090 + ... + 87270.

Almost surely, 2102369080 is an apocalyptic number.

102369080 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 102369080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126379440).

102369080 is an abundant number, since it is smaller than the sum of its proper divisors (150389800).

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

102369080 is a wasteful number, since it uses less digits than its factorization.

102369080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 102369080 is about 10117.7606217977. The cubic root of 102369080 is about 467.7957445047.

The spelling of 102369080 in words is "one hundred two million, three hundred sixty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 788 985 1181 1576 1970 2167 2362 3940 4334 4724 5905 7880 8668 9448 10835 11810 12991 17336 21670 23620 25982 43340 47240 51964 64955 86680 103928 129910 232657 259820 465314 519640 930628 1163285 1861256 2326570 2559227 4653140 5118454 9306280 10236908 12796135 20473816 25592270 51184540 102369080