[go: up one dir, main page]

Search a number
-
+
103066542 = 232232411033
BaseRepresentation
bin1100010010010…
…10101110101110
321011221022201100
412021022232232
5202341112132
614121023530
72361023355
oct611125656
9234838640
10103066542
11531a6467
122a624ba6
1318478527
14d98c99c
1590ad37c
hex624abae

103066542 has 48 divisors (see below), whose sum is σ = 234213408. Its totient is φ = 32693760.

The previous prime is 103066541. The next prime is 103066547. The reversal of 103066542 is 245660301.

103066542 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 654 + 2 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103066541) 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, 99258 + ... + 100290.

It is an arithmetic number, because the mean of its divisors is an integer number (4879446).

Almost surely, 2103066542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103066542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117106704).

103066542 is an abundant number, since it is smaller than the sum of its proper divisors (131146866).

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

103066542 is a wasteful number, since it uses less digits than its factorization.

103066542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 103066542 is about 10152.1693248291. The cubic root of 103066542 is about 468.8557376399.

The spelling of 103066542 in words is "one hundred three million, sixty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 241 414 482 723 1033 1446 2066 2169 3099 4338 5543 6198 9297 11086 16629 18594 23759 33258 47518 49887 71277 99774 142554 213831 248953 427662 497906 746859 1493718 2240577 4481154 5725919 11451838 17177757 34355514 51533271 103066542