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113873040 = 2434517573
BaseRepresentation
bin1101100100110…
…01000010010000
321221021100110000
412302121002100
5213122414130
615144410000
72551622241
oct662310220
9257240400
10113873040
1159307556
1232176900
131a7901c8
14111a2cc8
159ee5260
hex6c99090

113873040 has 100 divisors (see below), whose sum is σ = 395520444. Its totient is φ = 30364416.

The previous prime is 113873027. The next prime is 113873041. The reversal of 113873040 is 40378311.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 53406864 = 7776^2 + 7308^2 .

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 = 113872995 and 113873013.

It is not an unprimeable number, because it can be changed into a prime (113873041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2307 + ... + 15266.

Almost surely, 2113873040 is an apocalyptic number.

113873040 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 113873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197760222).

113873040 is an abundant number, since it is smaller than the sum of its proper divisors (281647404).

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

113873040 is a wasteful number, since it uses less digits than its factorization.

113873040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17598 (or 17583 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113873040 is about 10671.1311490394. The cubic root of 113873040 is about 484.7006903728.

The spelling of 113873040 in words is "one hundred thirteen million, eight hundred seventy-three 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 17573 35146 52719 70292 87865 105438 140584 158157 175730 210876 263595 281168 316314 351460 421752 474471 527190 632628 702920 790785 843504 948942 1054380 1265256 1405840 1423413 1581570 1897884 2108760 2372355 2530512 2846826 3163140 3795768 4217520 4744710 5693652 6326280 7117065 7591536 9489420 11387304 12652560 14234130 18978840 22774608 28468260 37957680 56936520 113873040