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103453680 = 243511149263
BaseRepresentation
bin1100010101010…
…01001111110000
321012122222202210
412022221033300
5202441004210
614133212120
72364225141
oct612511760
9235588683
10103453680
1153440310
122a791040
13185827c5
14da4dac8
159137e20
hex62a93f0

103453680 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 24816640.

The previous prime is 103453673. The next prime is 103453703. The reversal of 103453680 is 86354301.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 393229 + ... + 393491.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2103453680 is an apocalyptic number.

103453680 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 103453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

103453680 is an abundant number, since it is smaller than the sum of its proper divisors (250095120).

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

103453680 is a wasteful number, since it uses less digits than its factorization.

103453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 103453680 is about 10171.2182161234. The cubic root of 103453680 is about 469.4420419745.

The spelling of 103453680 in words is "one hundred three million, four hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 149 165 176 220 240 263 264 298 330 440 447 526 528 596 660 745 789 880 894 1052 1192 1315 1320 1490 1578 1639 1788 2104 2235 2384 2630 2640 2893 2980 3156 3278 3576 3945 4208 4470 4917 5260 5786 5960 6312 6556 7152 7890 8195 8679 8940 9834 10520 11572 11920 12624 13112 14465 15780 16390 17358 17880 19668 21040 23144 24585 26224 28930 31560 32780 34716 35760 39187 39336 43395 46288 49170 57860 63120 65560 69432 78374 78672 86790 98340 115720 117561 131120 138864 156748 173580 195935 196680 231440 235122 313496 347160 391870 393360 431057 470244 587805 626992 694320 783740 862114 940488 1175610 1293171 1567480 1724228 1880976 2155285 2351220 2586342 3134960 3448456 4310570 4702440 5172684 6465855 6896912 8621140 9404880 10345368 12931710 17242280 20690736 25863420 34484560 51726840 103453680