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103676540 = 2251117191459
BaseRepresentation
bin1100010110111…
…11101001111100
321020002022110212
412023133221330
5203020122130
614142051552
72366143652
oct613375174
9236068425
10103676540
11535827a0
122a879bb8
1318630086
14daaadd2
15917de95
hex62dfa7c

103676540 has 96 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 33592320.

The previous prime is 103676509. The next prime is 103676561. The reversal of 103676540 is 45676301.

Added to its reverse (45676301) it gives a square (149352841 = 122212).

It is a junction number, because it is equal to n+sod(n) for n = 103676497 and 103676506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70331 + ... + 71789.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2103676540 is an apocalyptic number.

103676540 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 103676540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

103676540 is an abundant number, since it is smaller than the sum of its proper divisors (161225860).

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

103676540 is a wasteful number, since it uses less digits than its factorization.

103676540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 103676540 is about 10182.1677456227. The cubic root of 103676540 is about 469.7788910171.

Adding to 103676540 its reverse (45676301), we get a square (149352841 = 122212).

The spelling of 103676540 in words is "one hundred three million, six hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1459 1615 1870 2090 2918 3230 3553 3740 4180 5836 6460 7106 7295 14212 14590 16049 17765 24803 27721 29180 32098 35530 49606 55442 64196 71060 80245 99212 110884 124015 138605 160490 248030 272833 277210 304931 320980 471257 496060 545666 554420 609862 942514 1091332 1219724 1364165 1524655 1885028 2356285 2728330 3049310 4712570 5183827 5456660 6098620 9425140 10367654 20735308 25919135 51838270 103676540