Search a number
-
+
150242736 = 24371729907
BaseRepresentation
bin10001111010010…
…00010110110000
3101110201010021210
420331020112300
5301430231421
622524120120
73503020320
oct1075102660
9343633253
10150242736
1177898656
1242396040
1325185537
1415d4d280
15d2cb576
hex8f485b0

150242736 has 160 divisors (see below), whose sum is σ = 486397440. Its totient is φ = 38965248.

The previous prime is 150242717. The next prime is 150242749. The reversal of 150242736 is 637242051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165195 + ... + 166101.

It is an arithmetic number, because the mean of its divisors is an integer number (3039984).

Almost surely, 2150242736 is an apocalyptic number.

150242736 is a gapful number since it is divisible by the number (16) 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 150242736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243198720).

150242736 is an abundant number, since it is smaller than the sum of its proper divisors (336154704).

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

150242736 is a wasteful number, since it uses less digits than its factorization.

150242736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 150242736 is about 12257.3543638095. The cubic root of 150242736 is about 531.6157362315.

Adding to 150242736 its reverse (637242051), we get a palindrome (787484787).

The spelling of 150242736 in words is "one hundred fifty million, two hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 34 42 48 51 56 58 68 84 87 102 112 116 119 136 168 174 203 204 232 238 272 336 348 357 406 408 464 476 493 609 696 714 812 816 907 952 986 1218 1392 1428 1479 1624 1814 1904 1972 2436 2721 2856 2958 3248 3451 3628 3944 4872 5442 5712 5916 6349 6902 7256 7888 9744 10353 10884 11832 12698 13804 14512 15419 19047 20706 21768 23664 25396 26303 27608 30838 38094 41412 43536 46257 50792 52606 55216 61676 76188 78909 82824 92514 101584 105212 107933 123352 152376 157818 165648 184121 185028 210424 215866 246704 304752 315636 323799 368242 370056 420848 431732 447151 552363 631272 647598 736484 740112 863464 894302 1104726 1262544 1295196 1341453 1472968 1726928 1788604 2209452 2590392 2682906 2945936 3130057 3577208 4418904 5180784 5365812 6260114 7154416 8837808 9390171 10731624 12520228 18780342 21463248 25040456 37560684 50080912 75121368 150242736