Search a number
-
+
94075380 = 223257197379
BaseRepresentation
bin1011001101101…
…11100111110100
320120000112011100
411212313213310
5143040403010
613200210100
72221425150
oct546674764
9216015140
1094075380
1149115253
1227609930
131664ac09
14c6cc060
1583d42c0
hex59b79f4

94075380 has 144 divisors (see below), whose sum is σ = 328648320. Its totient is φ = 21337344.

The previous prime is 94075379. The next prime is 94075409. The reversal of 94075380 is 8357049.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 248031 + ... + 248409.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 294075380 is an apocalyptic number.

94075380 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 94075380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164324160).

94075380 is an abundant number, since it is smaller than the sum of its proper divisors (234572940).

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

94075380 is a wasteful number, since it uses less digits than its factorization.

94075380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 94075380 is about 9699.2463624758. The cubic root of 94075380 is about 454.8051010861.

The spelling of 94075380 in words is "ninety-four million, seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 197 210 252 315 379 394 420 591 630 758 788 985 1137 1182 1260 1379 1516 1773 1895 1970 2274 2364 2653 2758 2955 3411 3546 3790 3940 4137 4548 5306 5516 5685 5910 6822 6895 7092 7580 7959 8274 8865 10612 11370 11820 12411 13265 13644 13790 15918 16548 17055 17730 20685 22740 23877 24822 26530 27580 31836 34110 35460 39795 41370 47754 49644 53060 62055 68220 74663 79590 82740 95508 119385 124110 149326 159180 223989 238770 248220 298652 373315 447978 477540 522641 671967 746630 895956 1045282 1119945 1343934 1493260 1567923 2090564 2239890 2613205 2687868 3135846 3359835 4479780 4703769 5226410 6271692 6719670 7839615 9407538 10452820 13439340 15679230 18815076 23518845 31358460 47037690 94075380