Search a number
-
+
102067740 = 223251374139
BaseRepresentation
bin1100001010101…
…10111000011100
321010001120121200
412011112320130
5202112131430
614043355500
72346363405
oct605267034
9233046550
10102067740
1152684005
122a222b90
13181b8a18
14d7ac9ac
158e62460
hex6156e1c

102067740 has 72 divisors (see below), whose sum is σ = 311940720. Its totient is φ = 27012864.

The previous prime is 102067739. The next prime is 102067759. The reversal of 102067740 is 47760201.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22591 + ... + 26729.

It is an arithmetic number, because the mean of its divisors is an integer number (4332510).

Almost surely, 2102067740 is an apocalyptic number.

102067740 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 102067740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155970360).

102067740 is an abundant number, since it is smaller than the sum of its proper divisors (209872980).

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

102067740 is a wasteful number, since it uses less digits than its factorization.

102067740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 102067740 is about 10102.8580114738. The cubic root of 102067740 is about 467.3362824789.

The spelling of 102067740 in words is "one hundred two million, sixty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4139 4932 6165 8220 8278 12330 12417 16556 20695 24660 24834 37251 41390 49668 62085 74502 82780 124170 149004 186255 248340 372510 567043 745020 1134086 1701129 2268172 2835215 3402258 5103387 5670430 6804516 8505645 10206774 11340860 17011290 20413548 25516935 34022580 51033870 102067740