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103181040 = 2434515923
BaseRepresentation
bin1100010011001…
…10101011110000
321012011010210000
412021212223300
5202403243130
614123310000
72362011234
oct611465360
9235133700
10103181040
1153274496
122a67b300
13184b8691
14d9bc5c4
1590d2260
hex6266af0

103181040 has 100 divisors (see below), whose sum is σ = 358385544. Its totient is φ = 27513216.

The previous prime is 103181033. The next prime is 103181053. The reversal of 103181040 is 40181301.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 1482 + ... + 14441.

Almost surely, 2103181040 is an apocalyptic number.

103181040 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 103181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179192772).

103181040 is an abundant number, since it is smaller than the sum of its proper divisors (255204504).

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

103181040 is a wasteful number, since it uses less digits than its factorization.

103181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 103181040 is about 10157.8068499061. The cubic root of 103181040 is about 469.0292927575.

The spelling of 103181040 in words is "one hundred three million, one hundred eighty-one 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 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 15923 31846 47769 63692 79615 95538 127384 143307 159230 191076 238845 254768 286614 318460 382152 429921 477690 573228 636920 716535 764304 859842 955380 1146456 1273840 1289763 1433070 1719684 1910760 2149605 2292912 2579526 2866140 3439368 3821520 4299210 5159052 5732280 6448815 6878736 8598420 10318104 11464560 12897630 17196840 20636208 25795260 34393680 51590520 103181040