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150114840 = 23356718671
BaseRepresentation
bin10001111001010…
…01001000011000
3101110110121211220
420330221020120
5301412133330
622521252040
73501645411
oct1074511030
9343417756
10150114840
1177810557
1242334020
132513c265
1415d18808
15d2a3710
hex8f29218

150114840 has 64 divisors (see below), whose sum is σ = 457090560. Its totient is φ = 39431040.

The previous prime is 150114829. The next prime is 150114841. The reversal of 150114840 is 48411051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150114840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150114841) 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 15 ways as a sum of consecutive naturals, for example, 1296 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (7142040).

Almost surely, 2150114840 is an apocalyptic number.

150114840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150114840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228545280).

150114840 is an abundant number, since it is smaller than the sum of its proper divisors (306975720).

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

150114840 is a wasteful number, since it uses less digits than its factorization.

150114840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 150114840 is about 12252.1361402818. The cubic root of 150114840 is about 531.4648452355.

Adding to 150114840 its reverse (48411051), we get a palindrome (198525891).

The spelling of 150114840 in words is "one hundred fifty million, one hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 18671 37342 56013 74684 93355 112026 149368 186710 224052 280065 373420 448104 560130 746840 1120260 1250957 2240520 2501914 3752871 5003828 6254785 7505742 10007656 12509570 15011484 18764355 25019140 30022968 37528710 50038280 75057420 150114840