Search a number
-
+
102355350 = 23521514519
BaseRepresentation
bin1100001100111…
…01000110010110
321010121012010220
412012131012112
5202200332400
614053455210
72352002046
oct606350626
9233535126
10102355350
11528600a9
122a341506
13182898c6
14d845726
158ebc7a0
hex619d196

102355350 has 48 divisors (see below), whose sum is σ = 255578880. Its totient is φ = 27108000.

The previous prime is 102355343. The next prime is 102355367. The reversal of 102355350 is 53553201.

It is a self number, because there is not a number n which added to its sum of digits gives 102355350.

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, 20391 + ... + 24909.

It is an arithmetic number, because the mean of its divisors is an integer number (5324560).

Almost surely, 2102355350 is an apocalyptic number.

102355350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102355350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127789440).

102355350 is an abundant number, since it is smaller than the sum of its proper divisors (153223530).

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

102355350 is a wasteful number, since it uses less digits than its factorization.

102355350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 102355350 is about 10117.0820892192. The cubic root of 102355350 is about 467.7748295867.

The spelling of 102355350 in words is "one hundred two million, three hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 151 302 453 755 906 1510 2265 3775 4519 4530 7550 9038 11325 13557 22595 22650 27114 45190 67785 112975 135570 225950 338925 677850 682369 1364738 2047107 3411845 4094214 6823690 10235535 17059225 20471070 34118450 51177675 102355350