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150346540 = 225371371483
BaseRepresentation
bin10001111011000…
…01101100101100
3101110220101200101
420331201230230
5301442042130
622530240444
73503632051
oct1075415454
9343811611
10150346540
1177959643
1242426124
13251c0866
1415d79028
15d2ec1ca
hex8f61b2c

150346540 has 48 divisors (see below), whose sum is σ = 326848032. Its totient is φ = 58046976.

The previous prime is 150346523. The next prime is 150346571. The reversal of 150346540 is 45643051.

150346540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150346499 and 150346508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100639 + ... + 102121.

It is an arithmetic number, because the mean of its divisors is an integer number (6809334).

Almost surely, 2150346540 is an apocalyptic number.

150346540 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 150346540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163424016).

150346540 is an abundant number, since it is smaller than the sum of its proper divisors (176501492).

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

150346540 is a wasteful number, since it uses less digits than its factorization.

150346540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 150346540 is about 12261.5879885111. The cubic root of 150346540 is about 531.7381406756.

Adding to 150346540 its reverse (45643051), we get a palindrome (195989591).

The spelling of 150346540 in words is "one hundred fifty million, three hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 137 148 185 274 370 548 685 740 1370 1483 2740 2966 5069 5932 7415 10138 14830 20276 25345 29660 50690 54871 101380 109742 203171 219484 274355 406342 548710 812684 1015855 1097420 2031710 4063420 7517327 15034654 30069308 37586635 75173270 150346540