Search a number
-
+
150530880 = 2635295407
BaseRepresentation
bin10001111100011…
…10101101000000
3101111020202112210
420332032231000
5302013442010
622534222120
73505330353
oct1076165500
9344222483
10150530880
1177a75095
12424b4940
1325256736
1415dc629a
15d336b20
hex8f8eb40

150530880 has 112 divisors (see below), whose sum is σ = 494507520. Its totient is φ = 38750208.

The previous prime is 150530839. The next prime is 150530881. The reversal of 150530880 is 88035051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150530881) by changing a digit.

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, 25137 + ... + 30543.

Almost surely, 2150530880 is an apocalyptic number.

150530880 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 150530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247253760).

150530880 is an abundant number, since it is smaller than the sum of its proper divisors (343976640).

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

150530880 is a wasteful number, since it uses less digits than its factorization.

150530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 150530880 is about 12269.1026566738. The cubic root of 150530880 is about 531.9553734213.

It can be divided in two parts, 1505 and 30880, that added together give a triangular number (32385 = T254).

The spelling of 150530880 in words is "one hundred fifty million, five hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5407 5568 6960 9280 10814 13920 16221 21628 27035 27840 32442 43256 54070 64884 81105 86512 108140 129768 156803 162210 173024 216280 259536 313606 324420 346048 432560 470409 519072 627212 648840 784015 865120 940818 1038144 1254424 1297680 1568030 1730240 1881636 2352045 2508848 2595360 3136060 3763272 4704090 5017696 5190720 6272120 7526544 9408180 10035392 12544240 15053088 18816360 25088480 30106176 37632720 50176960 75265440 150530880