Search a number
-
+
94029120 = 2633510883
BaseRepresentation
bin1011001101011…
…00010101000000
320112221011201000
411212230111000
5143032412440
613155212000
72221143243
oct546542500
9215834630
1094029120
1149093519
12275a7000
1316632b43
14c6b925a
1583c5730
hex59ac540

94029120 has 112 divisors (see below), whose sum is σ = 331744320. Its totient is φ = 25072128.

The previous prime is 94029101. The next prime is 94029127. The reversal of 94029120 is 2192049.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94029127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3199 + ... + 14081.

Almost surely, 294029120 is an apocalyptic number.

94029120 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 94029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165872160).

94029120 is an abundant number, since it is smaller than the sum of its proper divisors (237715200).

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

94029120 is a wasteful number, since it uses less digits than its factorization.

94029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 94029120 is about 9696.8613478795. The cubic root of 94029120 is about 454.7305412545.

It can be divided in two parts, 94029 and 120, that added together give a palindrome (94149).

The spelling of 94029120 in words is "ninety-four million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 10883 21766 32649 43532 54415 65298 87064 97947 108830 130596 163245 174128 195894 217660 261192 293841 326490 348256 391788 435320 489735 522384 587682 652980 696512 783576 870640 979470 1044768 1175364 1305960 1469205 1567152 1741280 1958940 2089536 2350728 2611920 2938410 3134304 3482560 3917880 4701456 5223840 5876820 6268608 7835760 9402912 10447680 11753640 15671520 18805824 23507280 31343040 47014560 94029120