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150705540 = 223254319471
BaseRepresentation
bin10001111101110…
…01010110000100
3101111120122010200
420332321112010
5302040034130
622542050500
73506655516
oct1076712604
9344518120
10150705540
1178084337
1242579a30
13252b809b
141602dbb6
15d36d760
hex8fb9584

150705540 has 72 divisors (see below), whose sum is σ = 467795328. Its totient is φ = 39251520.

The previous prime is 150705517. The next prime is 150705557. The reversal of 150705540 is 45507051.

150705540 is a `hidden beast` number, since 1 + 50 + 70 + 5 + 540 = 666.

150705540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1996 + ... + 17475.

Almost surely, 2150705540 is an apocalyptic number.

150705540 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 150705540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233897664).

150705540 is an abundant number, since it is smaller than the sum of its proper divisors (317089788).

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

150705540 is a wasteful number, since it uses less digits than its factorization.

150705540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19529 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 150705540 is about 12276.2184731293. The cubic root of 150705540 is about 532.1610353512.

The spelling of 150705540 in words is "one hundred fifty million, seven hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 19471 38942 58413 77884 97355 116826 175239 194710 233652 292065 350478 389420 584130 700956 837253 876195 1168260 1674506 1752390 2511759 3349012 3504780 4186265 5023518 7535277 8372530 10047036 12558795 15070554 16745060 25117590 30141108 37676385 50235180 75352770 150705540