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103354720 = 2557213183
BaseRepresentation
bin1100010100100…
…01000101100000
321012110222000121
412022101011200
5202424322340
614131130024
72363333500
oct612210540
9235428017
10103354720
1153382a27
122a743914
1318549751
14da25a00
15911894a
hex6291160

103354720 has 72 divisors (see below), whose sum is σ = 284062464. Its totient is φ = 35433216.

The previous prime is 103354697. The next prime is 103354723. The reversal of 103354720 is 27453301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103354723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1249 + ... + 14431.

It is an arithmetic number, because the mean of its divisors is an integer number (3945312).

Almost surely, 2103354720 is an apocalyptic number.

103354720 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 103354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142031232).

103354720 is an abundant number, since it is smaller than the sum of its proper divisors (180707744).

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

103354720 is a wasteful number, since it uses less digits than its factorization.

103354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 103354720 is about 10166.3523448678. The cubic root of 103354720 is about 469.2923105358.

The spelling of 103354720 in words is "one hundred three million, three hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 13183 26366 52732 65915 92281 105464 131830 184562 210928 263660 369124 421856 461405 527320 645967 738248 922810 1054640 1291934 1476496 1845620 2109280 2583868 2952992 3229835 3691240 5167736 6459670 7382480 10335472 12919340 14764960 20670944 25838680 51677360 103354720