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103380368 = 247131937101
BaseRepresentation
bin1100010100101…
…11010110010000
321012112021012112
412022113112100
5202431132433
614131444452
72363501330
oct612272620
9235467175
10103380368
11533a0223
122a756728
1318558320
14da310c0
159121348
hex6297590

103380368 has 160 divisors (see below), whose sum is σ = 269149440. Its totient is φ = 37324800.

The previous prime is 103380367. The next prime is 103380371. The reversal of 103380368 is 863083301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103380367) 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, 1023518 + ... + 1023618.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2103380368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103380368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720).

103380368 is an abundant number, since it is smaller than the sum of its proper divisors (165769072).

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

103380368 is a wasteful number, since it uses less digits than its factorization.

103380368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 103380368 is about 10167.6136826691. The cubic root of 103380368 is about 469.3311264173.

The spelling of 103380368 in words is "one hundred three million, three hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 37 38 52 56 74 76 91 101 104 112 133 148 152 182 202 208 247 259 266 296 304 364 404 481 494 518 532 592 703 707 728 808 962 988 1036 1064 1313 1406 1414 1456 1616 1729 1919 1924 1976 2072 2128 2626 2812 2828 3367 3458 3737 3838 3848 3952 4144 4921 5252 5624 5656 6734 6916 7474 7676 7696 9139 9191 9842 10504 11248 11312 13433 13468 13832 14948 15352 18278 18382 19684 21008 24947 26159 26866 26936 27664 29896 30704 36556 36764 39368 48581 49894 52318 53732 53872 59792 63973 71003 73112 73528 78736 97162 99788 104636 107464 127946 142006 146224 147056 174629 194324 199576 209272 214928 255892 284012 340067 349258 388648 399152 418544 497021 511784 568024 680134 698516 777296 923039 994042 1023568 1136048 1360268 1397032 1846078 1988084 2720536 2794064 3692156 3976168 5441072 6461273 7384312 7952336 12922546 14768624 25845092 51690184 103380368