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151335630 = 232523292521
BaseRepresentation
bin10010000010100…
…11001011001110
3101112202122110100
421001103023032
5302220220010
623003351530
73515221515
oct1101231316
9345678410
10151335630
1178474776
12428225a6
1325478b14
141615567c
15d4452c0
hex90532ce

151335630 has 96 divisors (see below), whose sum is σ = 424906560. Its totient is φ = 37255680.

The previous prime is 151335599. The next prime is 151335631. The reversal of 151335630 is 36533151.

151335630 is a `hidden beast` number, since 15 + 13 + 3 + 5 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151335594 and 151335603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151335631) 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, 58770 + ... + 61290.

It is an arithmetic number, because the mean of its divisors is an integer number (4426110).

Almost surely, 2151335630 is an apocalyptic number.

151335630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151335630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212453280).

151335630 is an abundant number, since it is smaller than the sum of its proper divisors (273570930).

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

151335630 is a wasteful number, since it uses less digits than its factorization.

151335630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 151335630 is about 12301.8547382092. The cubic root of 151335630 is about 532.9016476451.

Adding to 151335630 its reverse (36533151), we get a palindrome (187868781).

The spelling of 151335630 in words is "one hundred fifty-one million, three hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 290 345 414 435 522 667 690 870 1035 1305 1334 2001 2070 2521 2610 3335 4002 5042 6003 6670 7563 10005 12006 12605 15126 20010 22689 25210 30015 37815 45378 57983 60030 73109 75630 113445 115966 146218 173949 219327 226890 289915 347898 365545 438654 521847 579830 657981 731090 869745 1043694 1096635 1315962 1681507 1739490 2193270 2609235 3289905 3363014 5044521 5218470 6579810 8407535 10089042 15133563 16815070 25222605 30267126 50445210 75667815 151335630