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151532430 = 23574397173
BaseRepresentation
bin10010000100000…
…11001110001110
3101120010122102020
421002003032032
5302243014210
623011511010
73520001340
oct1102031616
9346118366
10151532430
1178599615
12428b8466
132551757a
14161a7290
15d483770
hex908338e

151532430 has 128 divisors (see below), whose sum is σ = 432165888. Its totient is φ = 33288192.

The previous prime is 151532413. The next prime is 151532431. The reversal of 151532430 is 34235151.

It is a self number, because there is not a number n which added to its sum of digits gives 151532430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151532431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875824 + ... + 875996.

It is an arithmetic number, because the mean of its divisors is an integer number (3376296).

Almost surely, 2151532430 is an apocalyptic number.

151532430 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 151532430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216082944).

151532430 is an abundant number, since it is smaller than the sum of its proper divisors (280633458).

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

151532430 is a wasteful number, since it uses less digits than its factorization.

151532430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 151532430 is about 12309.8509332973. The cubic root of 151532430 is about 533.1325463799.

Adding to 151532430 its reverse (34235151), we get a palindrome (185767581).

The spelling of 151532430 in words is "one hundred fifty-one million, five hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 97 105 129 173 194 210 215 258 291 301 346 430 485 519 582 602 645 679 865 903 970 1038 1211 1290 1358 1455 1505 1730 1806 2037 2422 2595 2910 3010 3395 3633 4074 4171 4515 5190 6055 6790 7266 7439 8342 9030 10185 12110 12513 14878 16781 18165 20370 20855 22317 25026 29197 33562 36330 37195 41710 44634 50343 52073 58394 62565 74390 83905 87591 100686 104146 111585 117467 125130 145985 156219 167810 175182 223170 234934 251715 260365 291970 312438 352401 437955 503430 520730 587335 704802 721583 781095 875910 1174670 1443166 1562190 1762005 2164749 3524010 3607915 4329498 5051081 7215830 10102162 10823745 15153243 21647490 25255405 30306486 50510810 75766215 151532430