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113004720 = 243555813
BaseRepresentation
bin1101011110001…
…01000010110000
321212122020100000
412233011002300
5212412122340
615114030000
72541344553
oct657050260
9255566300
10113004720
1158874134
1231a18300
131a547bca
141101869a
159dc2d30
hex6bc50b0

113004720 has 120 divisors (see below), whose sum is σ = 393631056. Its totient is φ = 30129408.

The previous prime is 113004713. The next prime is 113004739. The reversal of 113004720 is 27400311.

113004720 = T151 + T152 + ... + T879.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 113004693 and 113004702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16534 + ... + 22346.

Almost surely, 2113004720 is an apocalyptic number.

113004720 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 113004720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196815528).

113004720 is an abundant number, since it is smaller than the sum of its proper divisors (280626336).

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

113004720 is an equidigital number, since it uses as much as digits as its factorization.

113004720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 113004720 is about 10630.3678205413. The cubic root of 113004720 is about 483.4655439614.

The spelling of 113004720 in words is "one hundred thirteen million, four thousand, seven hundred twenty".

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 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 5813 6480 9720 11626 17439 19440 23252 29065 34878 46504 52317 58130 69756 87195 93008 104634 116260 139512 156951 174390 209268 232520 261585 279024 313902 348780 418536 465040 470853 523170 627804 697560 784755 837072 941706 1046340 1255608 1395120 1412559 1569510 1883412 2092680 2354265 2511216 2825118 3139020 3766824 4185360 4708530 5650236 6278040 7062795 7533648 9417060 11300472 12556080 14125590 18834120 22600944 28251180 37668240 56502360 113004720