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150641016 = 23347831609
BaseRepresentation
bin10001111101010…
…01100101111000
3101111110100121220
420332221211320
5302031003031
622540432040
73506266431
oct1076514570
9344410556
10150641016
117803a909
1242548620
13252948c6
1416014488
15d359596
hex8fa9978

150641016 has 64 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 48523008.

The previous prime is 150641003. The next prime is 150641017. The reversal of 150641016 is 610146051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150641017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92820 + ... + 94428.

It is an arithmetic number, because the mean of its divisors is an integer number (6085800).

Almost surely, 2150641016 is an apocalyptic number.

150641016 is the 7763-rd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150641016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

150641016 is an abundant number, since it is smaller than the sum of its proper divisors (238850184).

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

150641016 is a wasteful number, since it uses less digits than its factorization.

150641016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 150641016 is about 12273.5901838052. The cubic root of 150641016 is about 532.0850769398.

Adding to 150641016 its reverse (610146051), we get a palindrome (760787067).

The spelling of 150641016 in words is "one hundred fifty million, six hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 996 1128 1609 1992 3218 3901 4827 6436 7802 9654 11703 12872 15604 19308 23406 31208 38616 46812 75623 93624 133547 151246 226869 267094 302492 400641 453738 534188 604984 801282 907476 1068376 1602564 1814952 3205128 6276709 12553418 18830127 25106836 37660254 50213672 75320508 150641016