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94855140 = 223254112853
BaseRepresentation
bin1011010011101…
…01111111100100
320121111010210100
411221311333210
5143240331030
613225024100
72231153412
oct551657744
9217433710
1094855140
11495a8086
1227925030
1316861b03
14c8522b2
1584da360
hex5a75fe4

94855140 has 72 divisors (see below), whose sum is σ = 294767928. Its totient is φ = 24675840.

The previous prime is 94855127. The next prime is 94855171. The reversal of 94855140 is 4155849.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 94012416 = 918^2 + 9696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 94855095 and 94855104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954 + ... + 13806.

It is an arithmetic number, because the mean of its divisors is an integer number (4093999).

Almost surely, 294855140 is an apocalyptic number.

94855140 is a gapful number since it is divisible by the number (90) 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 94855140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147383964).

94855140 is an abundant number, since it is smaller than the sum of its proper divisors (199912788).

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

94855140 is a wasteful number, since it uses less digits than its factorization.

94855140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909 (or 12904 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 94855140 is about 9739.3603486061. The cubic root of 94855140 is about 456.0582220211.

The spelling of 94855140 in words is "ninety-four million, eight hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 12853 25706 38559 51412 64265 77118 115677 128530 154236 192795 231354 257060 385590 462708 526973 578385 771180 1053946 1156770 1580919 2107892 2313540 2634865 3161838 4742757 5269730 6323676 7904595 9485514 10539460 15809190 18971028 23713785 31618380 47427570 94855140