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106050294 = 2327978677
BaseRepresentation
bin1100101001000…
…11001011110110
321101112220122200
412110203023312
5204122102134
614305005330
72425261350
oct624431366
9241486580
10106050294
1154954179
122b623846
1318c8166c
14101280d0
15949c499
hex65232f6

106050294 has 48 divisors (see below), whose sum is σ = 265338528. Its totient is φ = 29984256.

The previous prime is 106050293. The next prime is 106050319. The reversal of 106050294 is 492050601.

106050294 is a `hidden beast` number, since 10 + 60 + 502 + 94 = 666.

It is a super-2 number, since 2×1060502942 = 22493329714972872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106050293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7884 + ... + 16560.

It is an arithmetic number, because the mean of its divisors is an integer number (5527886).

Almost surely, 2106050294 is an apocalyptic number.

106050294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106050294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132669264).

106050294 is an abundant number, since it is smaller than the sum of its proper divisors (159288234).

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

106050294 is a wasteful number, since it uses less digits than its factorization.

106050294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106050294 is about 10298.0723438904. The cubic root of 106050294 is about 473.3371871449.

The spelling of 106050294 in words is "one hundred six million, fifty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 8677 12222 17354 26031 52062 60739 78093 121478 156186 182217 364434 546651 841669 1093302 1683338 2525007 5050014 5891683 7575021 11783366 15150042 17675049 35350098 53025147 106050294