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116032280 = 235713127251
BaseRepresentation
bin1101110101010…
…00001100011000
322002100001100212
412322220030120
5214201013110
615302550252
72606154350
oct672501430
9262301325
10116032280
115a551851
1232a38388
131b067c70
14115a5b60
15a2bee05
hex6ea8318

116032280 has 128 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 36288000.

The previous prime is 116032271. The next prime is 116032283. The reversal of 116032280 is 82230611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116032283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462155 + ... + 462405.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2116032280 is an apocalyptic number.

116032280 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 116032280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

116032280 is an abundant number, since it is smaller than the sum of its proper divisors (209108200).

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

116032280 is a wasteful number, since it uses less digits than its factorization.

116032280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 116032280 is about 10771.8280714092. The cubic root of 116032280 is about 487.7451302814.

Adding to 116032280 its reverse (82230611), we get a palindrome (198262891).

The spelling of 116032280 in words is "one hundred sixteen million, thirty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 127 130 140 182 251 254 260 280 364 455 502 508 520 635 728 889 910 1004 1016 1255 1270 1651 1757 1778 1820 2008 2510 2540 3263 3302 3514 3556 3640 4445 5020 5080 6526 6604 7028 7112 8255 8785 8890 10040 11557 13052 13208 14056 16315 16510 17570 17780 22841 23114 26104 31877 32630 33020 35140 35560 45682 46228 57785 63754 65260 66040 70280 91364 92456 114205 115570 127508 130520 159385 182728 223139 228410 231140 255016 318770 414401 446278 456820 462280 637540 828802 892556 913640 1115695 1275080 1657604 1785112 2072005 2231390 2900807 3315208 4144010 4462780 5801614 8288020 8925560 11603228 14504035 16576040 23206456 29008070 58016140 116032280