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151052454 = 232723471109
BaseRepresentation
bin10010000000011…
…10000010100110
3101112020021000100
421000032002212
5302132134304
622553324530
73512632110
oct1100160246
9345207010
10151052454
11782a0a43
1242706746
13253a9c67
14160c03b0
15d3db439
hex900e0a6

151052454 has 96 divisors (see below), whose sum is σ = 398960640. Its totient is φ = 40366656.

The previous prime is 151052453. The next prime is 151052459. The reversal of 151052454 is 454250151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151052453) 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, 135652 + ... + 136760.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2151052454 is an apocalyptic number.

151052454 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 151052454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480320).

151052454 is an abundant number, since it is smaller than the sum of its proper divisors (247908186).

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

151052454 is a wasteful number, since it uses less digits than its factorization.

151052454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 151052454 is about 12290.3398651136. The cubic root of 151052454 is about 532.5690553835.

The spelling of 151052454 in words is "one hundred fifty-one million, fifty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 47 63 69 94 126 138 141 161 207 282 322 329 414 423 483 658 846 966 987 1081 1109 1449 1974 2162 2218 2898 2961 3243 3327 5922 6486 6654 7567 7763 9729 9981 15134 15526 19458 19962 22701 23289 25507 45402 46578 51014 52123 68103 69867 76521 104246 136206 139734 153042 156369 178549 229563 312738 357098 364861 459126 469107 535647 729722 938214 1071294 1094583 1198829 1606941 2189166 2397658 3213882 3283749 3596487 6567498 7192974 8391803 10789461 16783606 21578922 25175409 50350818 75526227 151052454