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116173600 = 2552197643
BaseRepresentation
bin1101110110010…
…10101100100000
322002121020012221
412323022230200
5214220023400
615310000424
72610313354
oct673125440
9262536187
10116173600
115a638a44
1232aa6114
131b0b739a
1411601464
15a2ebc1a
hex6ecab20

116173600 has 72 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 44017920.

The previous prime is 116173591. The next prime is 116173609. The reversal of 116173600 is 6371611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116173591) and next prime (116173609).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (116173609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11379 + ... + 19021.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2116173600 is an apocalyptic number.

116173600 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 116173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

116173600 is an abundant number, since it is smaller than the sum of its proper divisors (182401040).

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

116173600 is a wasteful number, since it uses less digits than its factorization.

116173600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 116173600 is about 10778.3857789560. The cubic root of 116173600 is about 487.9430642166.

The spelling of 116173600 in words is "one hundred sixteen million, one hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 7643 15200 15286 30572 38215 61144 76430 122288 145217 152860 191075 244576 290434 305720 382150 580868 611440 726085 764300 1161736 1222880 1452170 1528600 2323472 2904340 3057200 3630425 4646944 5808680 6114400 7260850 11617360 14521700 23234720 29043400 58086800 116173600