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150934000 = 2453710781
BaseRepresentation
bin10001111111100…
…01000111110000
3101112000020112011
420333301013300
5302114342000
622551012304
73511626550
oct1077610760
9345006464
10150934000
117821aa48
124266a094
1325368079
141608d160
15d3b62ba
hex8ff11f0

150934000 has 80 divisors (see below), whose sum is σ = 417134016. Its totient is φ = 51744000.

The previous prime is 150933941. The next prime is 150934033. The reversal of 150934000 is 439051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8610 + ... + 19390.

Almost surely, 2150934000 is an apocalyptic number.

150934000 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 150934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208567008).

150934000 is an abundant number, since it is smaller than the sum of its proper divisors (266200016).

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

150934000 is a wasteful number, since it uses less digits than its factorization.

150934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 150934000 is about 12285.5199320175. The cubic root of 150934000 is about 532.4298069952.

The spelling of 150934000 in words is "one hundred fifty million, nine hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 10781 14000 21562 43124 53905 75467 86248 107810 150934 172496 215620 269525 301868 377335 431240 539050 603736 754670 862480 1078100 1207472 1347625 1509340 1886675 2156200 2695250 3018680 3773350 4312400 5390500 6037360 7546700 9433375 10781000 15093400 18866750 21562000 30186800 37733500 75467000 150934000