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150199616 = 2671791873
BaseRepresentation
bin10001111001111…
…01110101000000
3101110121221010202
420330331311000
5301422341431
622523144332
73502450520
oct1074756500
9343557122
10150199616
1177869216
12423750a8
132516ba18
1415d3b680
15d2bd8cb
hex8f3dd40

150199616 has 56 divisors (see below), whose sum is σ = 342717120. Its totient is φ = 63977472.

The previous prime is 150199603. The next prime is 150199669. The reversal of 150199616 is 616991051.

It is a happy number.

150199616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 150199616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79256 + ... + 81128.

Almost surely, 2150199616 is an apocalyptic number.

150199616 is a gapful number since it is divisible by the number (16) 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 150199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171358560).

150199616 is an abundant number, since it is smaller than the sum of its proper divisors (192517504).

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

150199616 is a wasteful number, since it uses less digits than its factorization.

150199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 38.

The square root of 150199616 is about 12255.5952935792. The cubic root of 150199616 is about 531.5648730650.

The spelling of 150199616 in words is "one hundred fifty million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 1873 2506 2864 3746 5012 5728 7492 10024 11456 13111 14984 20048 26222 29968 40096 52444 59936 80192 104888 119872 209776 335267 419552 670534 839104 1341068 2346869 2682136 4693738 5364272 9387476 10728544 18774952 21457088 37549904 75099808 150199616