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150014340 = 223257671777
BaseRepresentation
bin10001111000100…
…00100110000100
3101110021111222200
420330100212010
5301400424330
622515154500
73501046410
oct1074204604
9343244880
10150014340
1177751aa3
12422a5a30
13251055a8
1415ccdd40
15d283a60
hex8f10984

150014340 has 144 divisors (see below), whose sum is σ = 528108672. Its totient is φ = 33758208.

The previous prime is 150014339. The next prime is 150014353. The reversal of 150014340 is 43410051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83532 + ... + 85308.

Almost surely, 2150014340 is an apocalyptic number.

150014340 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 150014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264054336).

150014340 is an abundant number, since it is smaller than the sum of its proper divisors (378094332).

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

150014340 is a wasteful number, since it uses less digits than its factorization.

150014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150014340 is about 12248.0341279734. The cubic root of 150014340 is about 531.3462157450.

Adding to 150014340 its reverse (43410051), we get a palindrome (193424391).

The spelling of 150014340 in words is "one hundred fifty million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1777 1876 2010 2345 2412 2814 3015 3554 4020 4221 4690 5331 5628 6030 7035 7108 8442 8885 9380 10662 12060 12439 14070 15993 16884 17770 21105 21324 24878 26655 28140 31986 35540 37317 42210 49756 53310 62195 63972 74634 79965 84420 106620 111951 119059 124390 149268 159930 186585 223902 238118 248780 319860 357177 373170 447804 476236 559755 595295 714354 746340 833413 1071531 1119510 1190590 1428708 1666826 1785885 2143062 2239020 2381180 2500239 3333652 3571770 4167065 4286124 5000478 5357655 7143540 7500717 8334130 10000956 10715310 12501195 15001434 16668260 21430620 25002390 30002868 37503585 50004780 75007170 150014340