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84940480 = 265436173
BaseRepresentation
bin1010001000000…
…01011011000000
312220211102102201
411010001123000
5133221043410
612232322544
72050660612
oct504013300
9186742381
1084940480
1143a46049
1224543454
13147a0051
14b3d0db2
1576cc83a
hex51016c0

84940480 has 56 divisors (see below), whose sum is σ = 207001872. Its totient is φ = 33180672.

The previous prime is 84940463. The next prime is 84940481. The reversal of 84940480 is 8404948.

It is not an unprimeable number, because it can be changed into a prime (84940481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10674 + ... + 16846.

It is an arithmetic number, because the mean of its divisors is an integer number (3696462).

Almost surely, 284940480 is an apocalyptic number.

84940480 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 84940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103500936).

84940480 is an abundant number, since it is smaller than the sum of its proper divisors (122061392).

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

84940480 is a wasteful number, since it uses less digits than its factorization.

84940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 84940480 is about 9216.3159668058. The cubic root of 84940480 is about 439.5803160748.

The spelling of 84940480 in words is "eighty-four million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6173 6880 12346 13760 24692 30865 49384 61730 98768 123460 197536 246920 265439 395072 493840 530878 987680 1061756 1327195 1975360 2123512 2654390 4247024 5308780 8494048 10617560 16988096 21235120 42470240 84940480