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116061400 = 23527213911
BaseRepresentation
bin1101110101011…
…11010011011000
322002101112022101
412322233103120
5214202431100
615303333144
72606335300
oct672572330
9262345271
10116061400
115a571714
1232a511b4
131b0782b0
14115b2600
15a2c886a
hex6eaf4d8

116061400 has 144 divisors (see below), whose sum is σ = 338415840. Its totient is φ = 36691200.

The previous prime is 116061391. The next prime is 116061401. The reversal of 116061400 is 4160611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116061401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126945 + ... + 127855.

It is an arithmetic number, because the mean of its divisors is an integer number (2350110).

Almost surely, 2116061400 is an apocalyptic number.

116061400 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 116061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

116061400 is an abundant number, since it is smaller than the sum of its proper divisors (222354440).

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

116061400 is a wasteful number, since it uses less digits than its factorization.

116061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 116061400 is about 10773.1796606202. The cubic root of 116061400 is about 487.7859291298.

The spelling of 116061400 in words is "one hundred sixteen million, sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 911 980 1225 1274 1300 1400 1820 1822 1960 2275 2450 2548 2600 3185 3640 3644 4550 4555 4900 5096 6370 6377 7288 9100 9110 9800 11843 12740 12754 15925 18200 18220 22775 23686 25480 25508 31850 31885 36440 44639 45550 47372 51016 59215 63700 63770 82901 89278 91100 94744 118430 127400 127540 159425 165802 178556 182200 223195 236860 255080 296075 318850 331604 357112 414505 446390 473720 580307 592150 637700 663208 829010 892780 1115975 1160614 1184300 1275400 1658020 1785560 2072525 2231950 2321228 2368600 2901535 3316040 4145050 4463900 4642456 5803070 8290100 8927800 11606140 14507675 16580200 23212280 29015350 58030700 116061400