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151023834 = 232135910939
BaseRepresentation
bin10010000000001…
…11000011011010
3101112011210202100
421000013003122
5302130230314
622552544230
73512452503
oct1100070332
9345153670
10151023834
1178281495
12426b2076
1325399c20
14160b3baa
15d3d2c09
hex90070da

151023834 has 48 divisors (see below), whose sum is σ = 358394400. Its totient is φ = 45677088.

The previous prime is 151023827. The next prime is 151023839. The reversal of 151023834 is 438320151.

It is a happy number.

It is a super-3 number, since 3×1510238343 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151023798 and 151023807.

It is not an unprimeable number, because it can be changed into a prime (151023839) 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, 8337 + ... + 19275.

It is an arithmetic number, because the mean of its divisors is an integer number (7466550).

Almost surely, 2151023834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151023834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179197200).

151023834 is an abundant number, since it is smaller than the sum of its proper divisors (207370566).

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

151023834 is a wasteful number, since it uses less digits than its factorization.

151023834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11019 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151023834 is about 12289.1754808856. The cubic root of 151023834 is about 532.5354178651.

Adding to 151023834 its reverse (438320151), we get a palindrome (589343985).

The spelling of 151023834 in words is "one hundred fifty-one million, twenty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4602 6903 10939 13806 21878 32817 65634 98451 142207 196902 284414 426621 645401 853242 1279863 1290802 1936203 2559726 3872406 5808609 8390213 11617218 16780426 25170639 50341278 75511917 151023834