Search a number
-
+
155000412 = 22337421487
BaseRepresentation
bin10010011110100…
…01111001011100
3101210122211121000
421033101321130
5304140003122
623214110300
73561324150
oct1117217134
9353584530
10155000412
117a548116
1243aab390
132615cc28
141682b060
15d91b0ac
hex93d1e5c

155000412 has 96 divisors (see below), whose sum is σ = 461296640. Its totient is φ = 44089920.

The previous prime is 155000411. The next prime is 155000431. The reversal of 155000412 is 214000551.

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 (155000411) 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, 318033 + ... + 318519.

Almost surely, 2155000412 is an apocalyptic number.

155000412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230648320).

155000412 is an abundant number, since it is smaller than the sum of its proper divisors (306296228).

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

155000412 is a wasteful number, since it uses less digits than its factorization.

155000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 155000412 is about 12449.9161442959. The cubic root of 155000412 is about 537.1690114369.

Adding to 155000412 its reverse (214000551), we get a palindrome (369000963).

The spelling of 155000412 in words is "one hundred fifty-five million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 421 487 756 842 974 1263 1461 1684 1948 2526 2922 2947 3409 3789 4383 5052 5844 5894 6818 7578 8766 8841 10227 11367 11788 13149 13636 15156 17532 17682 20454 22734 26298 26523 30681 35364 40908 45468 52596 53046 61362 79569 92043 106092 122724 159138 184086 205027 318276 368172 410054 615081 820108 1230162 1435189 1845243 2460324 2870378 3690486 4305567 5535729 5740756 7380972 8611134 11071458 12916701 17222268 22142916 25833402 38750103 51666804 77500206 155000412