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94109946 = 23761109337
BaseRepresentation
bin1011001110000…
…00000011111010
320120002021120120
411213000003322
5143043004241
613201034110
72221631010
oct547000372
9216067516
1094109946
1149139217
1227625936
1316660878
14c6da8b0
1583de666
hex59c00fa

94109946 has 64 divisors (see below), whose sum is σ = 221295360. Its totient is φ = 26127360.

The previous prime is 94109879. The next prime is 94109947. The reversal of 94109946 is 64990149.

It is a super-2 number, since 2×941099462 = 17713363872245832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 94109898 and 94109907.

It is not an unprimeable number, because it can be changed into a prime (94109947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279090 + ... + 279426.

It is an arithmetic number, because the mean of its divisors is an integer number (3457740).

Almost surely, 294109946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94109946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110647680).

94109946 is an abundant number, since it is smaller than the sum of its proper divisors (127185414).

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

94109946 is a wasteful number, since it uses less digits than its factorization.

94109946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 94109946 is about 9701.0280898470. The cubic root of 94109946 is about 454.8607970897.

The spelling of 94109946 in words is "ninety-four million, one hundred nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 61 109 122 183 218 327 337 366 427 654 674 763 854 1011 1281 1526 2022 2289 2359 2562 4578 4718 6649 7077 13298 14154 19947 20557 36733 39894 41114 46543 61671 73466 93086 110199 123342 139629 143899 220398 257131 279258 287798 431697 514262 771393 863394 1542786 2240713 4481426 6722139 13444278 15684991 31369982 47054973 94109946