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103419780 = 223589107181
BaseRepresentation
bin1100010101000…
…00111110000100
321012121021021020
412022200332010
5202433413110
614132351140
72364024252
oct612407604
9235537236
10103419780
11534178a2
122a7754b0
1318570249
14da415d2
15912cd70
hex62a0f84

103419780 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 26864640.

The previous prime is 103419761. The next prime is 103419791. The reversal of 103419780 is 87914301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571290 + ... + 571470.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2103419780 is an apocalyptic number.

103419780 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 103419780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

103419780 is an abundant number, since it is smaller than the sum of its proper divisors (193778940).

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

103419780 is a wasteful number, since it uses less digits than its factorization.

103419780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 103419780 is about 10169.5516125344. The cubic root of 103419780 is about 469.3907603323.

The spelling of 103419780 in words is "one hundred three million, four hundred nineteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 107 178 181 214 267 321 356 362 428 445 534 535 543 642 724 890 905 1068 1070 1086 1284 1335 1605 1780 1810 2140 2172 2670 2715 3210 3620 5340 5430 6420 9523 10860 16109 19046 19367 28569 32218 38092 38734 47615 48327 57138 58101 64436 77468 80545 95230 96654 96835 114276 116202 142845 161090 190460 193308 193670 232404 241635 285690 290505 322180 387340 483270 571380 581010 966540 1162020 1723663 3447326 5170989 6894652 8618315 10341978 17236630 20683956 25854945 34473260 51709890 103419780