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150450560 = 275133107
BaseRepresentation
bin10001111011110…
…11000110000000
3101111002200100222
420331323012000
5302003404220
622532402212
73504544241
oct1075730600
9344080328
10150450560
1177a1a807
1242476368
1325229000
1415da4cc8
15d31ce25
hex8f7b180

150450560 has 128 divisors (see below), whose sum is σ = 393271200. Its totient is φ = 55031808.

The previous prime is 150450551. The next prime is 150450563. The reversal of 150450560 is 65054051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150450563) 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, 1406027 + ... + 1406133.

Almost surely, 2150450560 is an apocalyptic number.

150450560 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 150450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196635600).

150450560 is an abundant number, since it is smaller than the sum of its proper divisors (242820640).

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

150450560 is an equidigital number, since it uses as much as digits as its factorization.

150450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 150450560 is about 12265.8289569030. The cubic root of 150450560 is about 531.8607433202.

The spelling of 150450560 in words is "one hundred fifty million, four hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 128 130 160 169 208 214 260 320 338 416 428 520 535 640 676 832 845 856 1040 1070 1352 1391 1664 1690 1712 2080 2140 2197 2704 2782 3380 3424 4160 4280 4394 5408 5564 6760 6848 6955 8320 8560 8788 10816 10985 11128 13520 13696 13910 17120 17576 18083 21632 21970 22256 27040 27820 34240 35152 36166 43940 44512 54080 55640 68480 70304 72332 87880 89024 90415 108160 111280 140608 144664 175760 178048 180830 222560 235079 281216 289328 351520 361660 445120 470158 578656 703040 723320 890240 940316 1157312 1175395 1406080 1446640 1880632 2314624 2350790 2893280 3761264 4701580 5786560 7522528 9403160 11573120 15045056 18806320 30090112 37612640 75225280 150450560