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116104000 = 265323631
BaseRepresentation
bin1101110101110…
…01101101000000
322002110200202011
412322321231000
5214210312000
615304302304
72606603425
oct672715500
9262420664
10116104000
115a5a0721
1232a71994
131b0917bc
14115c3d4c
15a2d62ba
hex6eb9b40

116104000 has 112 divisors (see below), whose sum is σ = 300508416. Its totient is φ = 44352000.

The previous prime is 116103991. The next prime is 116104007. The reversal of 116104000 is 401611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116104007) 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, 183685 + ... + 184315.

Almost surely, 2116104000 is an apocalyptic number.

116104000 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 116104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150254208).

116104000 is an abundant number, since it is smaller than the sum of its proper divisors (184404416).

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

116104000 is an equidigital number, since it uses as much as digits as its factorization.

116104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 116104000 is about 10775.1566113909. The cubic root of 116104000 is about 487.8456019660.

Adding to 116104000 its reverse (401611), we get a palindrome (116505611).

The spelling of 116104000 in words is "one hundred sixteen million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 631 736 800 920 1000 1150 1262 1472 1600 1840 2000 2300 2524 2875 3155 3680 4000 4600 5048 5750 6310 7360 8000 9200 10096 11500 12620 14513 15775 18400 20192 23000 25240 29026 31550 36800 40384 46000 50480 58052 63100 72565 78875 92000 100960 116104 126200 145130 157750 184000 201920 232208 252400 290260 315500 362825 464416 504800 580520 631000 725650 928832 1009600 1161040 1262000 1451300 1814125 2322080 2524000 2902600 3628250 4644160 5048000 5805200 7256500 11610400 14513000 23220800 29026000 58052000 116104000