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154100142 = 232729181233
BaseRepresentation
bin10010010111101…
…10000110101110
3101201222002122200
421023312012232
5303422201032
623142522330
73550554360
oct1113660656
9351862580
10154100142
1179a92799
12437363a6
1325c06221
1416674d30
15d7de47c
hex92f61ae

154100142 has 96 divisors (see below), whose sum is σ = 398623680. Its totient is φ = 42094080.

The previous prime is 154100083. The next prime is 154100143. The reversal of 154100142 is 241001451.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154100143) 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, 661258 + ... + 661490.

It is an arithmetic number, because the mean of its divisors is an integer number (4152330).

Almost surely, 2154100142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154100142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

154100142 is an abundant number, since it is smaller than the sum of its proper divisors (244523538).

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

154100142 is a wasteful number, since it uses less digits than its factorization.

154100142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 154100142 is about 12413.7078264312. The cubic root of 154100142 is about 536.1270003323.

Adding to 154100142 its reverse (241001451), we get a palindrome (395101593).

The spelling of 154100142 in words is "one hundred fifty-four million, one hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 181 203 233 261 362 406 466 522 543 609 699 1086 1218 1267 1398 1629 1631 1827 2097 2534 3258 3262 3654 3801 4194 4893 5249 6757 7602 9786 10498 11403 13514 14679 15747 20271 22806 29358 31494 36743 40542 42173 47241 47299 60813 73486 84346 94482 94598 110229 121626 126519 141897 220458 253038 283794 295211 330687 379557 425691 590422 661374 759114 851382 885633 1223017 1771266 2446034 2656899 3669051 5313798 7338102 8561119 11007153 17122238 22014306 25683357 51366714 77050071 154100142