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116710400 = 210524797
BaseRepresentation
bin1101111010011…
…01110000000000
322010121111120102
412331031300000
5214334213100
615325301532
72615010362
oct675156000
9263544512
10116710400
115a975284
12331048a8
131b244811
1411700d32
15a3a5cd5
hex6f4dc00

116710400 has 132 divisors (see below), whose sum is σ = 298501728. Its totient is φ = 45219840.

The previous prime is 116710393. The next prime is 116710403. The reversal of 116710400 is 4017611.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116710403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203152 + ... + 1203248.

Almost surely, 2116710400 is an apocalyptic number.

116710400 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 116710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149250864).

116710400 is an abundant number, since it is smaller than the sum of its proper divisors (181791328).

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

116710400 is an equidigital number, since it uses as much as digits as its factorization.

116710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 116710400 is about 10803.2587676127. The cubic root of 116710400 is about 488.6934511141.

The spelling of 116710400 in words is "one hundred sixteen million, seven hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 97 100 128 160 188 194 200 235 256 320 376 388 400 470 485 512 640 752 776 800 940 970 1024 1175 1280 1504 1552 1600 1880 1940 2350 2425 2560 3008 3104 3200 3760 3880 4559 4700 4850 5120 6016 6208 6400 7520 7760 9118 9400 9700 12032 12416 12800 15040 15520 18236 18800 19400 22795 24064 24832 25600 30080 31040 36472 37600 38800 45590 48128 49664 60160 62080 72944 75200 77600 91180 99328 113975 120320 124160 145888 150400 155200 182360 227950 240640 248320 291776 300800 310400 364720 455900 496640 583552 601600 620800 729440 911800 1167104 1203200 1241600 1458880 1823600 2334208 2483200 2917760 3647200 4668416 5835520 7294400 11671040 14588800 23342080 29177600 58355200 116710400