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150196240 = 2453171853
BaseRepresentation
bin10001111001111…
…01000000010000
3101110121202111201
420330331000100
5301422234430
622523120544
73502434625
oct1074750020
9343552451
10150196240
1177866727
1242373154
132516a31c
1415d3a34c
15d2bc8ca
hex8f3d010

150196240 has 80 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 57254400.

The previous prime is 150196237. The next prime is 150196297. The reversal of 150196240 is 42691051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150196199 and 150196208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175654 + ... + 176506.

Almost surely, 2150196240 is an apocalyptic number.

150196240 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 150196240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

150196240 is an abundant number, since it is smaller than the sum of its proper divisors (215780336).

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

150196240 is a wasteful number, since it uses less digits than its factorization.

150196240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 150196240 is about 12255.4575597976. The cubic root of 150196240 is about 531.5608904173.

The spelling of 150196240 in words is "one hundred fifty million, one hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 853 1136 1240 1420 1706 2201 2480 2840 3412 4265 4402 5680 6824 8530 8804 11005 13648 17060 17608 22010 26443 34120 35216 44020 52886 60563 68240 88040 105772 121126 132215 176080 211544 242252 264430 302815 423088 484504 528860 605630 969008 1057720 1211260 1877453 2115440 2422520 3754906 4845040 7509812 9387265 15019624 18774530 30039248 37549060 75098120 150196240