[go: up one dir, main page]

Search a number
-
+
150320736 = 253231113149
BaseRepresentation
bin10001111010110…
…11011001100000
3101110212002021200
420331123121200
5301440230421
622525521200
73503463606
oct1075333140
9343762250
10150320736
1177941215
1242413200
13251b1ba7
1415d6d876
15d2e4726
hex8f5b660

150320736 has 144 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 47738880.

The previous prime is 150320707. The next prime is 150320741. The reversal of 150320736 is 637023051.

It is a happy number.

150320736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008790 + ... + 1008938.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2150320736 is an apocalyptic number.

150320736 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 150320736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

150320736 is an abundant number, since it is smaller than the sum of its proper divisors (297836064).

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

150320736 is a wasteful number, since it uses less digits than its factorization.

150320736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 150320736 is about 12260.5357142337. The cubic root of 150320736 is about 531.7077181686.

Adding to 150320736 its reverse (637023051), we get a palindrome (787343787).

The spelling of 150320736 in words is "one hundred fifty million, three hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 113 124 144 149 186 226 248 279 288 298 339 372 447 452 496 558 596 678 744 894 904 992 1017 1116 1192 1341 1356 1488 1788 1808 2034 2232 2384 2682 2712 2976 3503 3576 3616 4068 4464 4619 4768 5364 5424 7006 7152 8136 8928 9238 10509 10728 10848 13857 14012 14304 16272 16837 18476 21018 21456 27714 28024 31527 32544 33674 36952 41571 42036 42912 50511 55428 56048 63054 67348 73904 83142 84072 101022 110856 112096 126108 134696 147808 151533 166284 168144 202044 221712 252216 269392 303066 332568 336288 404088 443424 504432 521947 538784 606132 665136 808176 1008864 1043894 1212264 1330272 1565841 1616352 2087788 2424528 3131682 4175576 4697523 4849056 6263364 8351152 9395046 12526728 16702304 18790092 25053456 37580184 50106912 75160368 150320736