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116077300 = 22527315901
BaseRepresentation
bin1101110101100…
…11001011110100
322002102100010021
412322303023310
5214203433200
615303534524
72606432533
oct672631364
9262370107
10116077300
115a582659
1232a5a444
131b0825c1
14115b831a
15a2cd41a
hex6eb32f4

116077300 has 36 divisors (see below), whose sum is σ = 255354316. Its totient is φ = 45792000.

The previous prime is 116077277. The next prime is 116077319. The reversal of 116077300 is 3770611.

It can be written as a sum of positive squares in 6 ways, for example, as 6832996 + 109244304 = 2614^2 + 10452^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651 + ... + 15250.

Almost surely, 2116077300 is an apocalyptic number.

116077300 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 116077300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127677158).

116077300 is an abundant number, since it is smaller than the sum of its proper divisors (139277016).

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

116077300 is a wasteful number, since it uses less digits than its factorization.

116077300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15988 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 116077300 is about 10773.9175790425. The cubic root of 116077300 is about 487.8082030932.

The spelling of 116077300 in words is "one hundred sixteen million, seventy-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 15901 31802 63604 79505 159010 318020 397525 795050 1160773 1590100 2321546 4643092 5803865 11607730 23215460 29019325 58038650 116077300