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80209116 = 223413137139
BaseRepresentation
bin1001100011111…
…10010011011100
312120221001020000
410301332103130
5131013142431
611543054300
71662523551
oct461762334
9176831200
1080209116
1141304329
1222a41390
1313804620
14a91ca28
1570959e6
hex4c7e4dc

80209116 has 120 divisors (see below), whose sum is σ = 229096560. Its totient is φ = 24323328.

The previous prime is 80209109. The next prime is 80209123. The reversal of 80209116 is 61190208.

It is an interprime number because it is at equal distance from previous prime (80209109) and next prime (80209123).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 80209116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 576975 + ... + 577113.

It is an arithmetic number, because the mean of its divisors is an integer number (1909138).

Almost surely, 280209116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80209116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114548280).

80209116 is an abundant number, since it is smaller than the sum of its proper divisors (148887444).

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

80209116 is a wasteful number, since it uses less digits than its factorization.

80209116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 80209116 is about 8955.9542205172. The cubic root of 80209116 is about 431.2620503249.

The spelling of 80209116 in words is "eighty million, two hundred nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 137 139 156 162 234 274 278 324 351 411 417 468 548 556 702 822 834 1053 1233 1251 1404 1644 1668 1781 1807 2106 2466 2502 3562 3614 3699 3753 4212 4932 5004 5343 5421 7124 7228 7398 7506 10686 10842 11097 11259 14796 15012 16029 16263 19043 21372 21684 22194 22518 32058 32526 38086 44388 45036 48087 48789 57129 64116 65052 76172 96174 97578 114258 144261 146367 171387 192348 195156 228516 247559 288522 292734 342774 495118 514161 577044 585468 685548 742677 990236 1028322 1485354 1542483 2056644 2228031 2970708 3084966 4456062 6169932 6684093 8912124 13368186 20052279 26736372 40104558 80209116