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116610720 = 2535379641
BaseRepresentation
bin1101111001101…
…01011010100000
322010102102211120
412330311122200
5214323020340
615323212240
72614113642
oct674653240
9263372746
10116610720
115a9073a6
1233077080
131b20b335
14116b6892
15a3864d0
hex6f356a0

116610720 has 96 divisors (see below), whose sum is σ = 368867520. Its totient is φ = 30965760.

The previous prime is 116610719. The next prime is 116610721. The reversal of 116610720 is 27016611.

It is an interprime number because it is at equal distance from previous prime (116610719) and next prime (116610721).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (116610721) 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, 181600 + ... + 182240.

It is an arithmetic number, because the mean of its divisors is an integer number (3842370).

Almost surely, 2116610720 is an apocalyptic number.

116610720 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 116610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184433760).

116610720 is an abundant number, since it is smaller than the sum of its proper divisors (252256800).

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

116610720 is a wasteful number, since it uses less digits than its factorization.

116610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 116610720 is about 10798.6443593629. The cubic root of 116610720 is about 488.5542837447.

The spelling of 116610720 in words is "one hundred sixteen million, six hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 379 480 641 758 1137 1282 1516 1895 1923 2274 2564 3032 3205 3790 3846 4548 5128 5685 6064 6410 7580 7692 9096 9615 10256 11370 12128 12820 15160 15384 18192 19230 20512 22740 25640 30320 30768 36384 38460 45480 51280 60640 61536 76920 90960 102560 153840 181920 242939 307680 485878 728817 971756 1214695 1457634 1943512 2429390 2915268 3644085 3887024 4858780 5830536 7288170 7774048 9717560 11661072 14576340 19435120 23322144 29152680 38870240 58305360 116610720