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80135616 = 26311191997
BaseRepresentation
bin1001100011011…
…00010111000000
312120210022101210
410301230113000
5131003314431
611541330120
71662066351
oct461542700
9176708353
1080135616
1141264090
1222a06940
13137aa032
14a8ddd28
15707dd46
hex4c6c5c0

80135616 has 112 divisors (see below), whose sum is σ = 243596160. Its totient is φ = 22993920.

The previous prime is 80135609. The next prime is 80135623. The reversal of 80135616 is 61653108.

It is an interprime number because it is at equal distance from previous prime (80135609) and next prime (80135623).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39130 + ... + 41126.

Almost surely, 280135616 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 80135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121798080).

80135616 is an abundant number, since it is smaller than the sum of its proper divisors (163460544).

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

80135616 is a wasteful number, since it uses less digits than its factorization.

80135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 80135616 is about 8951.8498646928. The cubic root of 80135616 is about 431.1302803992.

The spelling of 80135616 in words is "eighty million, one hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 1997 2112 2508 3344 3648 3994 5016 5991 6688 7988 10032 11982 13376 15976 20064 21967 23964 31952 37943 40128 43934 47928 63904 65901 75886 87868 95856 113829 127808 131802 151772 175736 191712 227658 263604 303544 351472 383424 417373 455316 527208 607088 702944 834746 910632 1054416 1214176 1252119 1405888 1669492 1821264 2108832 2428352 2504238 3338984 3642528 4217664 5008476 6677968 7285056 10016952 13355936 20033904 26711872 40067808 80135616