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116723400 = 23352227857
BaseRepresentation
bin1101111010100…
…00111011001000
322010122011101220
412331100323020
5214340122100
615325442040
72615063313
oct675207310
9263564356
10116723400
115a984022
1233110320
131b24a701
141170597a
15a3a9aa0
hex6f50ec8

116723400 has 96 divisors (see below), whose sum is σ = 363860640. Its totient is φ = 30952960.

The previous prime is 116723389. The next prime is 116723407. The reversal of 116723400 is 4327611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (116723407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135772 + ... + 136628.

It is an arithmetic number, because the mean of its divisors is an integer number (3790215).

Almost surely, 2116723400 is an apocalyptic number.

116723400 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 116723400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

116723400 is an abundant number, since it is smaller than the sum of its proper divisors (247137240).

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

116723400 is a wasteful number, since it uses less digits than its factorization.

116723400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 116723400 is about 10803.8604211643. The cubic root of 116723400 is about 488.7115951098.

The spelling of 116723400 in words is "one hundred sixteen million, seven hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 227 300 454 600 681 857 908 1135 1362 1714 1816 2270 2571 2724 3405 3428 4285 4540 5142 5448 5675 6810 6856 8570 9080 10284 11350 12855 13620 17025 17140 20568 21425 22700 25710 27240 34050 34280 42850 45400 51420 64275 68100 85700 102840 128550 136200 171400 194539 257100 389078 514200 583617 778156 972695 1167234 1556312 1945390 2334468 2918085 3890780 4668936 4863475 5836170 7781560 9726950 11672340 14590425 19453900 23344680 29180850 38907800 58361700 116723400