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150834000 = 24353231093
BaseRepresentation
bin10001111110110…
…00101101010000
3101111211011100110
420333120231100
5302103142000
622544521320
73511032162
oct1077305520
9344734313
10150834000
11781618a9
1242620240
13253316b5
1416064932
15d396850
hex8fd8b50

150834000 has 160 divisors (see below), whose sum is σ = 507896064. Its totient is φ = 38438400.

The previous prime is 150833971. The next prime is 150834011. The reversal of 150834000 is 438051.

150834000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137454 + ... + 138546.

Almost surely, 2150834000 is an apocalyptic number.

150834000 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 150834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253948032).

150834000 is an abundant number, since it is smaller than the sum of its proper divisors (357062064).

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

150834000 is a wasteful number, since it uses less digits than its factorization.

150834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150834000 is about 12281.4494258618. The cubic root of 150834000 is about 532.3121954485.

The spelling of 150834000 in words is "one hundred fifty million, eight hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1093 1104 1150 1200 1380 1500 1725 1840 2000 2186 2300 2760 2875 3000 3279 3450 4372 4600 5465 5520 5750 6000 6558 6900 8625 8744 9200 10930 11500 13116 13800 16395 17250 17488 21860 23000 25139 26232 27325 27600 32790 34500 43720 46000 50278 52464 54650 65580 69000 75417 81975 87440 100556 109300 125695 131160 136625 138000 150834 163950 201112 218600 251390 262320 273250 301668 327900 377085 402224 409875 437200 502780 546500 603336 628475 655800 754170 819750 1005560 1093000 1206672 1256950 1311600 1508340 1639500 1885425 2011120 2186000 2513900 3016680 3142375 3279000 3770850 5027800 6033360 6284750 6558000 7541700 9427125 10055600 12569500 15083400 18854250 25139000 30166800 37708500 50278000 75417000 150834000