Search a number
-
+
150133440 = 2635198231
BaseRepresentation
bin10001111001011…
…01101011000000
3101110111120100210
420330231223000
5301413232230
622521514120
73502053552
oct1074555300
9343446323
10150133440
1177823526
1242342940
1325147872
1415d214d2
15d2a8eb0
hex8f2dac0

150133440 has 112 divisors (see below), whose sum is σ = 501822720. Its totient is φ = 37923840.

The previous prime is 150133433. The next prime is 150133507. The reversal of 150133440 is 44331051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14125 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (4480560).

Almost surely, 2150133440 is an apocalyptic number.

150133440 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 150133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250911360).

150133440 is an abundant number, since it is smaller than the sum of its proper divisors (351689280).

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

150133440 is a wasteful number, since it uses less digits than its factorization.

150133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150133440 is about 12252.8951680817. The cubic root of 150133440 is about 531.4867947374.

Adding to 150133440 its reverse (44331051), we get a palindrome (194464491).

The spelling of 150133440 in words is "one hundred fifty million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 8231 9120 16462 18240 24693 32924 41155 49386 65848 82310 98772 123465 131696 156389 164620 197544 246930 263392 312778 329240 395088 469167 493860 526784 625556 658480 781945 790176 938334 987720 1251112 1316960 1563890 1580352 1876668 1975440 2345835 2502224 2633920 3127780 3753336 3950880 4691670 5004448 6255560 7506672 7901760 9383340 10008896 12511120 15013344 18766680 25022240 30026688 37533360 50044480 75066720 150133440