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80469760 = 285721283
BaseRepresentation
bin1001100101111…
…01111100000000
312121102021202111
410302331330000
5131100013020
611552425104
71664660500
oct462757400
9177367674
1080469760
1141472138
1222b48194
1313896157
14a989a00
1570e7d5a
hex4cbdf00

80469760 has 108 divisors (see below), whose sum is σ = 224394408. Its totient is φ = 27568128.

The previous prime is 80469749. The next prime is 80469787. The reversal of 80469760 is 6796408.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62079 + ... + 63361.

It is an arithmetic number, because the mean of its divisors is an integer number (2077726).

Almost surely, 280469760 is an apocalyptic number.

80469760 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 80469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112197204).

80469760 is an abundant number, since it is smaller than the sum of its proper divisors (143924648).

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

80469760 is a wasteful number, since it uses less digits than its factorization.

80469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 80469760 is about 8970.4938548555. The cubic root of 80469760 is about 431.7286819432.

The spelling of 80469760 in words is "eighty million, four hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1283 1568 1792 1960 2240 2566 3136 3920 4480 5132 6272 6415 7840 8960 8981 10264 12544 12830 15680 17962 20528 25660 31360 35924 41056 44905 51320 62720 62867 71848 82112 89810 102640 125734 143696 164224 179620 205280 251468 287392 314335 328448 359240 410560 502936 574784 628670 718480 821120 1005872 1149568 1257340 1436960 1642240 2011744 2299136 2514680 2873920 4023488 5029360 5747840 8046976 10058720 11495680 16093952 20117440 40234880 80469760