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103403820 = 223513433083
BaseRepresentation
bin1100010100111…
…01000100101100
321012120110101010
412022131010230
5202432410240
614132145220
72363626602
oct612350454
9235513333
10103403820
1153406903
122a768210
1318565bc0
14da39872
159128280
hex629d12c

103403820 has 96 divisors (see below), whose sum is σ = 319156992. Its totient is φ = 24853248.

The previous prime is 103403819. The next prime is 103403827. The reversal of 103403820 is 28304301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103403827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31999 + ... + 35081.

It is an arithmetic number, because the mean of its divisors is an integer number (3324552).

Almost surely, 2103403820 is an apocalyptic number.

103403820 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 103403820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159578496).

103403820 is an abundant number, since it is smaller than the sum of its proper divisors (215753172).

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

103403820 is a wasteful number, since it uses less digits than its factorization.

103403820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 103403820 is about 10168.7668868944. The cubic root of 103403820 is about 469.3666132368.

The spelling of 103403820 in words is "one hundred three million, four hundred three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3083 3354 5590 6166 6708 8385 9249 11180 12332 15415 16770 18498 30830 33540 36996 40079 46245 61660 80158 92490 120237 132569 160316 184980 200395 240474 265138 397707 400790 480948 530276 601185 662845 795414 801580 1202370 1325690 1590828 1723397 1988535 2404740 2651380 3446794 3977070 5170191 6893588 7954140 8616985 10340382 17233970 20680764 25850955 34467940 51701910 103403820