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150043104 = 2534107541
BaseRepresentation
bin10001111000101…
…11100111100000
3101110022222110000
420330113213200
5301402334404
622515540000
73501226311
oct1074274740
9343288400
10150043104
1177771672
12422ba600
1325115703
1415cda608
15d28c339
hex8f179e0

150043104 has 120 divisors (see below), whose sum is σ = 446219928. Its totient is φ = 49455360.

The previous prime is 150043081. The next prime is 150043109. The reversal of 150043104 is 401340051.

It is a happy number.

150043104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150043109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277074 + ... + 277614.

Almost surely, 2150043104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223109964).

150043104 is an abundant number, since it is smaller than the sum of its proper divisors (296176824).

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

150043104 is a wasteful number, since it uses less digits than its factorization.

150043104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

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

The square root of 150043104 is about 12249.2083009475. The cubic root of 150043104 is about 531.3801739782.

Adding to 150043104 its reverse (401340051), we get a palindrome (551383155).

The spelling of 150043104 in words is "one hundred fifty million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 541 642 648 856 864 963 1082 1284 1296 1623 1712 1926 2164 2568 2592 2889 3246 3424 3852 4328 4869 5136 5778 6492 7704 8656 8667 9738 10272 11556 12984 14607 15408 17312 17334 19476 23112 25968 29214 30816 34668 38952 43821 46224 51936 57887 58428 69336 77904 87642 92448 115774 116856 138672 155808 173661 175284 231548 233712 277344 347322 350568 463096 467424 520983 694644 701136 926192 1041966 1389288 1402272 1562949 1852384 2083932 2778576 3125898 4167864 4688847 5557152 6251796 8335728 9377694 12503592 16671456 18755388 25007184 37510776 50014368 75021552 150043104