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116407000 = 2353591973
BaseRepresentation
bin1101111000000…
…11101011011000
322010001002101101
412330003223120
5214300011000
615315001144
72612305003
oct674035330
9263032341
10116407000
115a788336
1232b991b4
131b1696a8
141166253a
15a345e6a
hex6f03ad8

116407000 has 64 divisors (see below), whose sum is σ = 277149600. Its totient is φ = 45750400.

The previous prime is 116406991. The next prime is 116407001. The reversal of 116407000 is 704611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116407001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58014 + ... + 59986.

Almost surely, 2116407000 is an apocalyptic number.

116407000 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 116407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138574800).

116407000 is an abundant number, since it is smaller than the sum of its proper divisors (160742600).

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

116407000 is a wasteful number, since it uses less digits than its factorization.

116407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 116407000 is about 10789.2075705308. The cubic root of 116407000 is about 488.2696149654.

The spelling of 116407000 in words is "one hundred sixteen million, four hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 1973 2360 2950 3946 5900 7375 7892 9865 11800 14750 15784 19730 29500 39460 49325 59000 78920 98650 116407 197300 232814 246625 394600 465628 493250 582035 931256 986500 1164070 1973000 2328140 2910175 4656280 5820350 11640700 14550875 23281400 29101750 58203500 116407000