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150032140 = 225172411831
BaseRepresentation
bin10001111000101…
…00111100001100
3101110022102101221
420330110330030
5301402012030
622515413124
73501152326
oct1074247414
9343272357
10150032140
1177764405
12422b41a4
132511071b
1415cd6616
15d288e7a
hex8f14f0c

150032140 has 48 divisors (see below), whose sum is σ = 335168064. Its totient is φ = 56217600.

The previous prime is 150032137. The next prime is 150032147. The reversal of 150032140 is 41230051.

It is not an unprimeable number, because it can be changed into a prime (150032147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81025 + ... + 82855.

It is an arithmetic number, because the mean of its divisors is an integer number (6982668).

Almost surely, 2150032140 is an apocalyptic number.

150032140 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 150032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167584032).

150032140 is an abundant number, since it is smaller than the sum of its proper divisors (185135924).

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

150032140 is a wasteful number, since it uses less digits than its factorization.

150032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 150032140 is about 12248.7607536436. The cubic root of 150032140 is about 531.3672305995.

Adding to 150032140 its reverse (41230051), we get a palindrome (191262191).

The spelling of 150032140 in words is "one hundred fifty million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 964 1205 1831 2410 3662 4097 4820 7324 8194 9155 16388 18310 20485 31127 36620 40970 62254 81940 124508 155635 311270 441271 622540 882542 1765084 2206355 4412710 7501607 8825420 15003214 30006428 37508035 75016070 150032140