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103943790 = 2335478191
BaseRepresentation
bin1100011001000…
…00111001101110
321020120220002000
412030200321232
5203102200130
614151513130
72401336056
oct614407156
9236526060
10103943790
1153745565
122a9887a6
13186c4902
14db3a566
1591d3260
hex6320e6e

103943790 has 64 divisors (see below), whose sum is σ = 283115520. Its totient is φ = 27125280.

The previous prime is 103943779. The next prime is 103943803. The reversal of 103943790 is 97349301.

It is a super-2 number, since 2×1039437902 = 21608622959128200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8595 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (4423680).

Almost surely, 2103943790 is an apocalyptic number.

103943790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103943790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141557760).

103943790 is an abundant number, since it is smaller than the sum of its proper divisors (179171730).

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

103943790 is a wasteful number, since it uses less digits than its factorization.

103943790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 103943790 is about 10195.2827327152. The cubic root of 103943790 is about 470.1821988637.

The spelling of 103943790 in words is "one hundred three million, nine hundred forty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 8191 12690 16382 24573 40955 49146 73719 81910 122865 147438 221157 245730 368595 384977 442314 737190 769954 1105785 1154931 1924885 2211570 2309862 3464793 3849770 5774655 6929586 10394379 11549310 17323965 20788758 34647930 51971895 103943790