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151749150 = 23527433361
BaseRepresentation
bin10010000101110…
…00001000011110
3101120112122200220
421002320020132
5302321433100
623020302210
73521563230
oct1102701036
9346478626
10151749150
1178727423
12429a1966
13255920c7
1416222250
15d4c7aa0
hex90b821e

151749150 has 96 divisors (see below), whose sum is σ = 440233728. Its totient is φ = 33868800.

The previous prime is 151749139. The next prime is 151749161. The reversal of 151749150 is 51947151.

It is an interprime number because it is at equal distance from previous prime (151749139) and next prime (151749161).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43470 + ... + 46830.

It is an arithmetic number, because the mean of its divisors is an integer number (4585768).

Almost surely, 2151749150 is an apocalyptic number.

151749150 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 151749150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220116864).

151749150 is an abundant number, since it is smaller than the sum of its proper divisors (288484578).

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

151749150 is a wasteful number, since it uses less digits than its factorization.

151749150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 151749150 is about 12318.6504942709. The cubic root of 151749150 is about 533.3865853945.

The spelling of 151749150 in words is "one hundred fifty-one million, seven hundred forty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 3010 3225 3361 4515 6450 6722 7525 9030 10083 15050 16805 20166 22575 23527 33610 45150 47054 50415 70581 84025 100830 117635 141162 144523 168050 235270 252075 289046 352905 433569 504150 588175 705810 722615 867138 1011661 1176350 1445230 1764525 2023322 2167845 3034983 3529050 3613075 4335690 5058305 6069966 7226150 10116610 10839225 15174915 21678450 25291525 30349830 50583050 75874575 151749150