Search a number
-
+
103074048 = 2832721183
BaseRepresentation
bin1100010010011…
…00100100000000
321011221201000100
412021030210000
5202341332143
614121122400
72361054300
oct611144400
9234851010
10103074048
1153201070
122a629400
131847ba7c
14d991600
1590b06d3
hex624c900

103074048 has 324 divisors, whose sum is σ = 381680208. Its totient is φ = 26449920.

The previous prime is 103074047. The next prime is 103074061. The reversal of 103074048 is 840470301.

It is a super-2 number, since 2×1030740482 = 21248518742212608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103074047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241815 + ... + 1241897.

Almost surely, 2103074048 is an apocalyptic number.

103074048 is a gapful number since it is divisible by the number (18) 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 103074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190840104).

103074048 is an abundant number, since it is smaller than the sum of its proper divisors (278606160).

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

103074048 is a wasteful number, since it uses less digits than its factorization.

103074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 103074048 is about 10152.5389927840. The cubic root of 103074048 is about 468.8671191082.

It can be divided in two parts, 1030 and 74048, that added together give a triangular number (75078 = T387).

The spelling of 103074048 in words is "one hundred three million, seventy-four thousand, forty-eight".