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150108480 = 2632552121
BaseRepresentation
bin10001111001001…
…11100101000000
3101110110022010100
420330213211000
5301411432410
622521202400
73501621024
oct1074474500
9343408110
10150108480
11778067a5
1242330400
13251393b2
1415d16384
15d2a18c0
hex8f27940

150108480 has 84 divisors (see below), whose sum is σ = 516320532. Its totient is φ = 40028160.

The previous prime is 150108461. The next prime is 150108509. The reversal of 150108480 is 84801051.

150108480 is a `hidden beast` number, since 1 + 501 + 0 + 84 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 67371264 = 9096^2 + 8208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23181 + ... + 28940.

It is an arithmetic number, because the mean of its divisors is an integer number (6146673).

Almost surely, 2150108480 is an apocalyptic number.

150108480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150108480 is an abundant number, since it is smaller than the sum of its proper divisors (366212052).

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

150108480 is a wasteful number, since it uses less digits than its factorization.

150108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52144 (or 52131 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 150108480 is about 12251.8765909554. The cubic root of 150108480 is about 531.4573395060.

The spelling of 150108480 in words is "one hundred fifty million, one hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 52121 104242 156363 208484 260605 312726 416968 469089 521210 625452 781815 833936 938178 1042420 1250904 1563630 1667872 1876356 2084840 2345445 2501808 3127260 3335744 3752712 4169680 4690890 5003616 6254520 7505424 8339360 9381780 10007232 12509040 15010848 16678720 18763560 25018080 30021696 37527120 50036160 75054240 150108480