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116031720 = 23357472939
BaseRepresentation
bin1101110101010…
…00000011101000
322002100000121010
412322220003220
5214201003340
615302543520
72606152620
oct672500350
9262300533
10116031720
115a551392
1232a37ba0
131b06792c
14115a5880
15a2beb80
hex6ea80e8

116031720 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 25948416.

The previous prime is 116031709. The next prime is 116031733. The reversal of 116031720 is 27130611.

It is a super-3 number, since 3×1160317203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38011 + ... + 40949.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2116031720 is an apocalyptic number.

116031720 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 116031720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

116031720 is an abundant number, since it is smaller than the sum of its proper divisors (290393880).

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

116031720 is a wasteful number, since it uses less digits than its factorization.

116031720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 116031720 is about 10771.8020776470. The cubic root of 116031720 is about 487.7443456213.

The spelling of 116031720 in words is "one hundred sixteen million, thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 2939 3290 3948 4935 5640 5878 6580 7896 8817 9870 11756 13160 14695 17634 19740 20573 23512 29390 35268 39480 41146 44085 58780 61719 70536 82292 88170 102865 117560 123438 138133 164584 176340 205730 246876 276266 308595 352680 411460 414399 493752 552532 617190 690665 822920 828798 966931 1105064 1234380 1381330 1657596 1933862 2071995 2468760 2762660 2900793 3315192 3867724 4143990 4834655 5525320 5801586 7735448 8287980 9669310 11603172 14503965 16575960 19338620 23206344 29007930 38677240 58015860 116031720