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94129128 = 2334295009
BaseRepresentation
bin1011001110001…
…00101111101000
320120010020220000
411213010233220
5143044113003
613201303000
72222040642
oct547045750
9216106800
1094129128
1149151675
1227634a60
1316669512
14c703892
1583e51a3
hex59c4be8

94129128 has 80 divisors (see below), whose sum is σ = 272794500. Its totient is φ = 30288384.

The previous prime is 94129121. The next prime is 94129129. The reversal of 94129128 is 82192149.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 324 = 9702^2 + 18^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 94129092 and 94129101.

It is not an unprimeable number, because it can be changed into a prime (94129121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16288 + ... + 21296.

Almost surely, 294129128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94129128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136397250).

94129128 is an abundant number, since it is smaller than the sum of its proper divisors (178665372).

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

94129128 is a wasteful number, since it uses less digits than its factorization.

94129128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5043 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 94129128 is about 9702.0166975738. The cubic root of 94129128 is about 454.8916990558.

The spelling of 94129128 in words is "ninety-four million, one hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 5009 6264 9396 10018 15027 18792 20036 30054 40072 45081 60108 90162 120216 135243 145261 180324 270486 290522 360648 405729 435783 540972 581044 811458 871566 1081944 1162088 1307349 1622916 1743132 2614698 3245832 3486264 3922047 5229396 7844094 10458792 11766141 15688188 23532282 31376376 47064564 94129128