Search a number
-
+
102280440 = 23352932909
BaseRepresentation
bin1100001100010…
…10110011111000
321010110101101110
412012022303320
5202140433230
614052120320
72351240463
oct606126370
9233411343
10102280440
1152809899
122a3060a0
1318261792
14d8262da
158ea54b0
hex618acf8

102280440 has 64 divisors (see below), whose sum is σ = 307994400. Its totient is φ = 27172352.

The previous prime is 102280433. The next prime is 102280441. The reversal of 102280440 is 44082201.

It is a super-2 number, since 2×1022804402 = 20922576813187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102280441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33706 + ... + 36614.

Almost surely, 2102280440 is an apocalyptic number.

102280440 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 102280440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153997200).

102280440 is an abundant number, since it is smaller than the sum of its proper divisors (205713960).

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

102280440 is a wasteful number, since it uses less digits than its factorization.

102280440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 102280440 is about 10113.3792572018. The cubic root of 102280440 is about 467.6606861822.

The spelling of 102280440 in words is "one hundred two million, two hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1758 2344 2909 2930 3516 4395 5818 5860 7032 8727 8790 11636 11720 14545 17454 17580 23272 29090 34908 35160 43635 58180 69816 87270 116360 174540 349080 852337 1704674 2557011 3409348 4261685 5114022 6818696 8523370 10228044 12785055 17046740 20456088 25570110 34093480 51140220 102280440