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80601216 = 2731712347
BaseRepresentation
bin1001100110111…
…10000010000000
312121122222002020
410303132002000
5131113214331
611555321440
71666045653
oct463360200
9177588066
1080601216
1141551983
1222bb0280
1313910c37
14a9c189a
157121c96
hex4cde080

80601216 has 64 divisors (see below), whose sum is σ = 226709280. Its totient is φ = 25284608.

The previous prime is 80601167. The next prime is 80601253. The reversal of 80601216 is 61210608.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 12701.

Almost surely, 280601216 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 80601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113354640).

80601216 is an abundant number, since it is smaller than the sum of its proper divisors (146108064).

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

80601216 is a wasteful number, since it uses less digits than its factorization.

80601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12381 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 80601216 is about 8977.8179977097. The cubic root of 80601216 is about 431.9636457748.

The spelling of 80601216 in words is "eighty million, six hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 12347 24694 37041 49388 74082 98776 148164 197552 209899 296328 395104 419798 592656 629697 790208 839596 1185312 1259394 1580416 1679192 2370624 2518788 3358384 4741248 5037576 6716768 10075152 13433536 20150304 26867072 40300608 80601216