Search a number
-
+
103019280 = 24357135389
BaseRepresentation
bin1100010001111…
…11001100010000
321011211220212220
412020333030100
5202333104110
614120021040
72360435520
oct610771420
9234756786
10103019280
1153173a01
122a601780
131845cb70
14d979680
15909e370
hex623f310

103019280 has 320 divisors, whose sum is σ = 404974080. Its totient is φ = 21086208.

The previous prime is 103019263. The next prime is 103019291. The reversal of 103019280 is 82910301.

It is a super-2 number, since 2×1030192802 = 21225944103436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103019280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157476 + ... + 1157564.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2103019280 is an apocalyptic number.

103019280 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 103019280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

103019280 is an abundant number, since it is smaller than the sum of its proper divisors (301954800).

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

103019280 is a wasteful number, since it uses less digits than its factorization.

103019280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 103019280 is about 10149.8413780709. The cubic root of 103019280 is about 468.7840608139.

Adding to 103019280 its reverse (82910301), we get a palindrome (185929581).

The spelling of 103019280 in words is "one hundred three million, nineteen thousand, two hundred eighty".