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113007060 = 2232519173191
BaseRepresentation
bin1101011110001…
…01100111010100
321212122100112200
412233011213110
5212412211220
615114044500
72541354435
oct657054724
9255570480
10113007060
1158875971
1231a19730
131a548caa
141101948c
159dc3890
hex6bc59d4

113007060 has 144 divisors (see below), whose sum is σ = 364815360. Its totient is φ = 28235520.

The previous prime is 113007017. The next prime is 113007067. The reversal of 113007060 is 60700311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113007067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591565 + ... + 591755.

It is an arithmetic number, because the mean of its divisors is an integer number (2533440).

Almost surely, 2113007060 is an apocalyptic number.

113007060 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 113007060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

113007060 is an abundant number, since it is smaller than the sum of its proper divisors (251808300).

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

113007060 is a wasteful number, since it uses less digits than its factorization.

113007060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113007060 is about 10630.4778820145. The cubic root of 113007060 is about 483.4688809948.

Adding to 113007060 its reverse (60700311), we get a palindrome (173707371).

The spelling of 113007060 in words is "one hundred thirteen million, seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 173 180 190 191 228 285 342 346 380 382 519 570 573 684 692 764 855 865 955 1038 1140 1146 1557 1710 1719 1730 1910 2076 2292 2595 2865 3114 3287 3420 3438 3460 3629 3820 5190 5730 6228 6574 6876 7258 7785 8595 9861 10380 10887 11460 13148 14516 15570 16435 17190 18145 19722 21774 29583 31140 32661 32870 33043 34380 36290 39444 43548 49305 54435 59166 65322 65740 66086 72580 98610 99129 108870 118332 130644 132172 147915 163305 165215 197220 198258 217740 295830 297387 326610 330430 396516 495645 591660 594774 627817 653220 660860 991290 1189548 1255634 1486935 1883451 1982580 2511268 2973870 3139085 3766902 5650353 5947740 6278170 7533804 9417255 11300706 12556340 18834510 22601412 28251765 37669020 56503530 113007060