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103397040 = 2433547869
BaseRepresentation
bin1100010100110…
…11011010110000
321012120010002000
412022123122300
5202432201130
614132054000
72363601045
oct612333260
9235503060
10103397040
11534017aa
122a764300
1318562aa6
14da371cc
159126260
hex629b6b0

103397040 has 80 divisors (see below), whose sum is σ = 356152800. Its totient is φ = 27571968.

The previous prime is 103397027. The next prime is 103397057. The reversal of 103397040 is 40793301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103396995 and 103397013.

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 15 ways as a sum of consecutive naturals, for example, 21775 + ... + 26094.

It is an arithmetic number, because the mean of its divisors is an integer number (4451910).

Almost surely, 2103397040 is an apocalyptic number.

103397040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103397040 is an abundant number, since it is smaller than the sum of its proper divisors (252755760).

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

103397040 is a wasteful number, since it uses less digits than its factorization.

103397040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47891 (or 47879 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 103397040 is about 10168.4335076746. The cubic root of 103397040 is about 469.3563545081.

The spelling of 103397040 in words is "one hundred three million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 47869 95738 143607 191476 239345 287214 382952 430821 478690 574428 718035 765904 861642 957380 1148856 1292463 1436070 1723284 1914760 2154105 2297712 2584926 2872140 3446568 3829520 4308210 5169852 5744280 6462315 6893136 8616420 10339704 11488560 12924630 17232840 20679408 25849260 34465680 51698520 103397040