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70840 = 23571123
BaseRepresentation
bin10001010010111000
310121011201
4101102320
54231330
61303544
7413350
oct212270
9117151
1070840
1149250
1234bb4
1326323
141bb60
1515eca
hex114b8

70840 has 64 divisors (see below), whose sum is σ = 207360. Its totient is φ = 21120.

The previous prime is 70823. The next prime is 70841. The reversal of 70840 is 4807.

70840 = T69 + T70 + ... + T90.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

270840 is an apocalyptic number.

70840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

70840 is the 154-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

70840 is an abundant number, since it is smaller than the sum of its proper divisors (136520).

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

70840 is a wasteful number, since it uses less digits than its factorization.

70840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 70840 is about 266.1578479023. The cubic root of 70840 is about 41.3770493656.

The spelling of 70840 in words is "seventy thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3542 5060 6440 7084 8855 10120 14168 17710 35420 70840