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94136900 = 2252111329227
BaseRepresentation
bin1011001110001…
…10101001000100
320120010122112212
411213012221010
5143044340100
613201402552
72222102414
oct547065104
9216118485
1094136900
11491574a0
1227639458
131666cc10
14c706644
1583e7635
hex59c6a44

94136900 has 144 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 30374400.

The previous prime is 94136897. The next prime is 94136909. The reversal of 94136900 is 963149.

It is a super-2 number, since 2×941369002 = 17723511883220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (94136909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414587 + ... + 414813.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 294136900 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 94136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

94136900 is an abundant number, since it is smaller than the sum of its proper divisors (155222140).

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

94136900 is a wasteful number, since it uses less digits than its factorization.

94136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 94136900 is about 9702.4172245889. The cubic root of 94136900 is about 454.9042184571.

The spelling of 94136900 in words is "ninety-four million, one hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 29 44 50 52 55 58 65 100 110 116 130 143 145 220 227 260 275 286 290 319 325 377 454 550 572 580 638 650 715 725 754 908 1100 1135 1276 1300 1430 1450 1508 1595 1885 2270 2497 2860 2900 2951 3190 3575 3770 4147 4540 4994 5675 5902 6380 6583 7150 7540 7975 8294 9425 9988 11350 11804 12485 13166 14300 14755 15950 16588 18850 20735 22700 24970 26332 29510 31900 32461 32915 37700 41470 49940 59020 62425 64922 65830 72413 73775 82940 85579 103675 124850 129844 131660 144826 147550 162305 164575 171158 207350 249700 289652 295100 324610 329150 342316 362065 414700 427895 649220 658300 724130 811525 855790 941369 1448260 1623050 1711580 1810325 1882738 2139475 3246100 3620650 3765476 4278950 4706845 7241300 8557900 9413690 18827380 23534225 47068450 94136900