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103023320 = 23519283479
BaseRepresentation
bin1100010010000…
…00001011011000
321011212010102112
412021000023120
5202333221240
614120051452
72360453351
oct611001330
9234763375
10103023320
1153176a44
122a603b88
131846195a
14d97ad28
1590a0665
hex62402d8

103023320 has 64 divisors (see below), whose sum is σ = 245376000. Its totient is φ = 38821248.

The previous prime is 103023293. The next prime is 103023329. The reversal of 103023320 is 23320301.

It is a super-2 number, since 2×1030233202 = 21227608927644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103023295 and 103023304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103023329) 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, 214841 + ... + 215319.

It is an arithmetic number, because the mean of its divisors is an integer number (3834000).

Almost surely, 2103023320 is an apocalyptic number.

103023320 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 103023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122688000).

103023320 is an abundant number, since it is smaller than the sum of its proper divisors (142352680).

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

103023320 is a wasteful number, since it uses less digits than its factorization.

103023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 103023320 is about 10150.0403940083. The cubic root of 103023320 is about 468.7901886728.

Adding to 103023320 its reverse (23320301), we get a palindrome (126343621).

The spelling of 103023320 in words is "one hundred three million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 283 380 479 566 760 958 1132 1415 1916 2264 2395 2830 3832 4790 5377 5660 9101 9580 10754 11320 18202 19160 21508 26885 36404 43016 45505 53770 72808 91010 107540 135557 182020 215080 271114 364040 542228 677785 1084456 1355570 2575583 2711140 5151166 5422280 10302332 12877915 20604664 25755830 51511660 103023320