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150991320 = 233523227241
BaseRepresentation
bin10001111111111…
…11000111011000
3101112010011011010
420333333013120
5302123210240
622552133520
73512255634
oct1077770730
9345104133
10150991320
117825a017
12426972a0
132538819c
14160a5dc4
15d3c8280
hex8fff1d8

150991320 has 128 divisors (see below), whose sum is σ = 476720640. Its totient is φ = 38184960.

The previous prime is 150991319. The next prime is 150991327. The reversal of 150991320 is 23199051.

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 (150991327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626400 + ... + 626640.

It is an arithmetic number, because the mean of its divisors is an integer number (3724380).

Almost surely, 2150991320 is an apocalyptic number.

150991320 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 150991320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238360320).

150991320 is an abundant number, since it is smaller than the sum of its proper divisors (325729320).

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

150991320 is a wasteful number, since it uses less digits than its factorization.

150991320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 150991320 is about 12287.8525381777. The cubic root of 150991320 is about 532.4971985129.

It can be divided in two parts, 1509 and 91320, that added together give a palindrome (92829).

The spelling of 150991320 in words is "one hundred fifty million, nine hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 227 230 241 276 345 454 460 482 552 681 690 723 908 920 964 1135 1205 1362 1380 1446 1816 1928 2270 2410 2724 2760 2892 3405 3615 4540 4820 5221 5448 5543 5784 6810 7230 9080 9640 10442 11086 13620 14460 15663 16629 20884 22172 26105 27240 27715 28920 31326 33258 41768 44344 52210 54707 55430 62652 66516 78315 83145 104420 109414 110860 125304 133032 156630 164121 166290 208840 218828 221720 273535 313260 328242 332580 437656 547070 626520 656484 665160 820605 1094140 1258261 1312968 1641210 2188280 2516522 3282420 3774783 5033044 6291305 6564840 7549566 10066088 12582610 15099132 18873915 25165220 30198264 37747830 50330440 75495660 150991320