Search a number
-
+
103366080 = 26325191889
BaseRepresentation
bin1100010100100…
…11110111000000
321012111112121100
412022103313000
5202430203310
614131254400
72363411556
oct612236700
9235445540
10103366080
1153390514
122a74a400
131855197c
14da29bd6
15911bec0
hex6293dc0

103366080 has 168 divisors, whose sum is σ = 374446800. Its totient is φ = 26099712.

The previous prime is 103366057. The next prime is 103366093. The reversal of 103366080 is 80663301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53776 + ... + 55664.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2103366080 is an apocalyptic number.

103366080 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 103366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187223400).

103366080 is an abundant number, since it is smaller than the sum of its proper divisors (271080720).

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

103366080 is a wasteful number, since it uses less digits than its factorization.

103366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103366080 is about 10166.9110353145. The cubic root of 103366080 is about 469.3095036397.

The spelling of 103366080 in words is "one hundred three million, three hundred sixty-six thousand, eighty".