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150640542 = 2321337127137
BaseRepresentation
bin10001111101010…
…01011110011110
3101111110022222100
420332221132132
5302030444132
622540425530
73506265153
oct1076513636
9344408870
10150640542
117803a518
12425482a6
1325294620
141601422a
15d35937c
hex8fa979e

150640542 has 96 divisors (see below), whose sum is σ = 366492672. Its totient is φ = 44416512.

The previous prime is 150640489. The next prime is 150640543. The reversal of 150640542 is 245046051.

150640542 is a `hidden beast` number, since 15 + 0 + 640 + 5 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150640543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099498 + ... + 1099634.

It is an arithmetic number, because the mean of its divisors is an integer number (3817632).

Almost surely, 2150640542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150640542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183246336).

150640542 is an abundant number, since it is smaller than the sum of its proper divisors (215852130).

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

150640542 is a wasteful number, since it uses less digits than its factorization.

150640542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150640542 is about 12273.5708740366. The cubic root of 150640542 is about 532.0845188611.

Adding to 150640542 its reverse (245046051), we get a palindrome (395686593).

The spelling of 150640542 in words is "one hundred fifty million, six hundred forty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 127 137 222 234 254 274 333 381 411 481 666 762 822 962 1143 1233 1443 1651 1781 2286 2466 2886 3302 3562 4329 4699 4953 5069 5343 8658 9398 9906 10138 10686 14097 14859 15207 16029 17399 28194 29718 30414 32058 34798 42291 45621 52197 61087 65897 84582 91242 104394 122174 131794 156591 183261 197691 226187 313182 366522 395382 452374 549783 593073 643763 678561 1099566 1186146 1287526 1357122 1931289 2035683 3862578 4071366 5793867 8368919 11587734 16737838 25106757 50213514 75320271 150640542