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116440000 = 26544171
BaseRepresentation
bin1101111000010…
…11101111000000
322010002202122121
412330023233000
5214302040000
615315414024
72612503135
oct674135700
9263082577
10116440000
115a800106
1232bb4314
131b17b711
141167058c
15a350b1a
hex6f0bbc0

116440000 has 140 divisors (see below), whose sum is σ = 299941488. Its totient is φ = 44800000.

The previous prime is 116439979. The next prime is 116440003. The reversal of 116440000 is 44611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1639965 + ... + 1640035.

Almost surely, 2116440000 is an apocalyptic number.

116440000 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 116440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149970744).

116440000 is an abundant number, since it is smaller than the sum of its proper divisors (183501488).

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

116440000 is an frugal number, since it uses more digits than its factorization.

116440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 116440000 is about 10790.7367681730. The cubic root of 116440000 is about 488.3157501490.

Adding to 116440000 its reverse (44611), we get a palindrome (116484611).

The spelling of 116440000 in words is "one hundred sixteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 71 80 82 100 125 142 160 164 200 205 250 284 320 328 355 400 410 500 568 625 656 710 800 820 1000 1025 1136 1250 1312 1420 1600 1640 1775 2000 2050 2272 2500 2624 2840 2911 3280 3550 4000 4100 4544 5000 5125 5680 5822 6560 7100 8000 8200 8875 10000 10250 11360 11644 13120 14200 14555 16400 17750 20000 20500 22720 23288 25625 28400 29110 32800 35500 40000 41000 44375 46576 51250 56800 58220 65600 71000 72775 82000 88750 93152 102500 113600 116440 142000 145550 164000 177500 186304 205000 232880 284000 291100 328000 355000 363875 410000 465760 568000 582200 710000 727750 820000 931520 1164400 1420000 1455500 1640000 1819375 2328800 2840000 2911000 3638750 4657600 5822000 7277500 11644000 14555000 23288000 29110000 58220000 116440000