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80219040 = 25351115193
BaseRepresentation
bin1001100100000…
…00101110100000
312120221112211120
410302000232200
5131014002130
611543212240
71662564516
oct462005640
9176845746
1080219040
1141310830
1222a47080
1313808cb5
14a9224b6
157098910
hex4c80ba0

80219040 has 96 divisors (see below), whose sum is σ = 275679936. Its totient is φ = 19445760.

The previous prime is 80219023. The next prime is 80219053. The reversal of 80219040 is 4091208.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 80219040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 12876.

It is an arithmetic number, because the mean of its divisors is an integer number (2871666).

Almost surely, 280219040 is an apocalyptic number.

80219040 is a gapful number since it is divisible by the number (80) 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 80219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137839968).

80219040 is an abundant number, since it is smaller than the sum of its proper divisors (195460896).

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

80219040 is a wasteful number, since it uses less digits than its factorization.

80219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222 (or 15214 counting only the distinct ones).

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

The square root of 80219040 is about 8956.5082481958. The cubic root of 80219040 is about 431.2798357850.

The spelling of 80219040 in words is "eighty million, two hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 15193 30386 45579 60772 75965 91158 121544 151930 167123 182316 227895 243088 303860 334246 364632 455790 486176 501369 607720 668492 729264 835615 911580 1002738 1215440 1336984 1458528 1671230 1823160 2005476 2430880 2506845 2673968 3342460 3646320 4010952 5013690 5347936 6684920 7292640 8021904 10027380 13369840 16043808 20054760 26739680 40109520 80219040