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150443440 = 24572331153
BaseRepresentation
bin10001111011110…
…01010110110000
3101111002022121021
420331321112300
5302003142230
622532305224
73504514420
oct1075712660
9344068537
10150443440
1177a15424
1242472214
13252259b4
1415da2480
15d31ac7a
hex8f795b0

150443440 has 80 divisors (see below), whose sum is σ = 401813568. Its totient is φ = 51314688.

The previous prime is 150443429. The next prime is 150443441. The reversal of 150443440 is 44344051.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (150443441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129904 + ... + 131056.

Almost surely, 2150443440 is an apocalyptic number.

150443440 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 150443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200906784).

150443440 is an abundant number, since it is smaller than the sum of its proper divisors (251370128).

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

150443440 is a wasteful number, since it uses less digits than its factorization.

150443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 150443440 is about 12265.5387162570. The cubic root of 150443440 is about 531.8523531704.

Adding to 150443440 its reverse (44344051), we get a palindrome (194787491).

It can be divided in two parts, 1504 and 43440, that added together give a palindrome (44944).

The spelling of 150443440 in words is "one hundred fifty million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 233 280 466 560 932 1153 1165 1631 1864 2306 2330 3262 3728 4612 4660 5765 6524 8071 8155 9224 9320 11530 13048 16142 16310 18448 18640 23060 26096 32284 32620 40355 46120 64568 65240 80710 92240 129136 130480 161420 268649 322840 537298 645680 1074596 1343245 1880543 2149192 2686490 3761086 4298384 5372980 7522172 9402715 10745960 15044344 18805430 21491920 30088688 37610860 75221720 150443440