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103030320 = 24351512843
BaseRepresentation
bin1100010010000…
…01111000110000
321011212111000210
412021001320300
5202333432240
614120144120
72360512641
oct611017060
9234774023
10103030320
1153181228
122a608040
1318464bb3
14d97d6c8
1590a2780
hex6241e30

103030320 has 80 divisors (see below), whose sum is σ = 321622272. Its totient is φ = 27283200.

The previous prime is 103030313. The next prime is 103030327. The reversal of 103030320 is 23030301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103030313) and next prime (103030327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103030296 and 103030305.

It is not an unprimeable number, because it can be changed into a prime (103030327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34819 + ... + 37661.

Almost surely, 2103030320 is an apocalyptic number.

103030320 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 103030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160811136).

103030320 is an abundant number, since it is smaller than the sum of its proper divisors (218591952).

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

103030320 is a wasteful number, since it uses less digits than its factorization.

103030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 103030320 is about 10150.3852143650. The cubic root of 103030320 is about 468.8008058709.

Adding to 103030320 its reverse (23030301), we get a palindrome (126060621).

The spelling of 103030320 in words is "one hundred three million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 2843 3020 3624 4530 5686 6040 7248 8529 9060 11372 12080 14215 17058 18120 22744 28430 34116 36240 42645 45488 56860 68232 85290 113720 136464 170580 227440 341160 429293 682320 858586 1287879 1717172 2146465 2575758 3434344 4292930 5151516 6439395 6868688 8585860 10303032 12878790 17171720 20606064 25757580 34343440 51515160 103030320