Search a number
-
+
103376416 = 251113192941
BaseRepresentation
bin1100010100101…
…10011000100000
321012112001210011
412022112120200
5202431021131
614131414304
72363453653
oct612263040
9235461704
10103376416
1153398260
122a754394
13185565a0
14da2d89a
1591200b1
hex6296620

103376416 has 192 divisors, whose sum is σ = 266716800. Its totient is φ = 38707200.

The previous prime is 103376401. The next prime is 103376461. The reversal of 103376416 is 614673301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521356 + ... + 2521396.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2103376416 is an apocalyptic number.

103376416 is a gapful number since it is divisible by the number (16) 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 103376416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

103376416 is an abundant number, since it is smaller than the sum of its proper divisors (163340384).

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

103376416 is a wasteful number, since it uses less digits than its factorization.

103376416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 103376416 is about 10167.4193382588. The cubic root of 103376416 is about 469.3251458483.

The spelling of 103376416 in words is "one hundred three million, three hundred seventy-six thousand, four hundred sixteen".