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116627730 = 23561101631
BaseRepresentation
bin1101111001110…
…01100100010010
322010110022011120
412330321210102
5214324041410
615323423110
72614214352
oct674714422
9263408146
10116627730
115a91915a
1233084a96
131b215cbb
14116bcb62
15a38b570
hex6f39912

116627730 has 64 divisors (see below), whose sum is σ = 287767296. Its totient is φ = 30240000.

The previous prime is 116627723. The next prime is 116627761. The reversal of 116627730 is 37726611.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116627691 and 116627700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184515 + ... + 185145.

It is an arithmetic number, because the mean of its divisors is an integer number (4496364).

Almost surely, 2116627730 is an apocalyptic number.

116627730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116627730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143883648).

116627730 is an abundant number, since it is smaller than the sum of its proper divisors (171139566).

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

116627730 is a wasteful number, since it uses less digits than its factorization.

116627730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 116627730 is about 10799.4319295044. The cubic root of 116627730 is about 488.5780377195.

The spelling of 116627730 in words is "one hundred sixteen million, six hundred twenty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 101 122 183 202 303 305 366 505 606 610 631 915 1010 1262 1515 1830 1893 3030 3155 3786 6161 6310 9465 12322 18483 18930 30805 36966 38491 61610 63731 76982 92415 115473 127462 184830 191193 192455 230946 318655 382386 384910 577365 637310 955965 1154730 1911930 3887591 7775182 11662773 19437955 23325546 38875910 58313865 116627730