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150205740 = 223559151281
BaseRepresentation
bin10001111001111…
…11010100101100
3101110122020112120
420330333110230
5301423040430
622523232540
73502504416
oct1074772454
9343566476
10150205740
1177872883
1242378750
1325171749
1415d3d9b6
15d2c0610
hex8f3f52c

150205740 has 96 divisors (see below), whose sum is σ = 432069120. Its totient is φ = 38976000.

The previous prime is 150205739. The next prime is 150205747. The reversal of 150205740 is 47502051.

It is a self number, because there is not a number n which added to its sum of digits gives 150205740.

It is not an unprimeable number, because it can be changed into a prime (150205747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534400 + ... + 534680.

It is an arithmetic number, because the mean of its divisors is an integer number (4500720).

Almost surely, 2150205740 is an apocalyptic number.

150205740 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 150205740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216034560).

150205740 is an abundant number, since it is smaller than the sum of its proper divisors (281863380).

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

150205740 is a wasteful number, since it uses less digits than its factorization.

150205740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 150205740 is about 12255.8451360973. The cubic root of 150205740 is about 531.5720973600.

Adding to 150205740 its reverse (47502051), we get a palindrome (197707791).

The spelling of 150205740 in words is "one hundred fifty million, two hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 151 177 236 281 295 302 354 453 562 590 604 708 755 843 885 906 1124 1180 1405 1510 1686 1770 1812 2265 2810 3020 3372 3540 4215 4530 5620 8430 8909 9060 16579 16860 17818 26727 33158 35636 42431 44545 49737 53454 66316 82895 84862 89090 99474 106908 127293 133635 165790 169724 178180 198948 212155 248685 254586 267270 331580 424310 497370 509172 534540 636465 848620 994740 1272930 2503429 2545860 5006858 7510287 10013716 12517145 15020574 25034290 30041148 37551435 50068580 75102870 150205740