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2150064 = 2435779
BaseRepresentation
bin1000001100111010110000
311001020100000
420030322300
51022300224
6114030000
724163260
oct10147260
94036300
102150064
111239414
12878300
135a3837
143dd7a0
152c70c9
hex20ceb0

2150064 has 120 divisors (see below), whose sum is σ = 7221760. Its totient is φ = 606528.

The previous prime is 2150039. The next prime is 2150101. The reversal of 2150064 is 4600512.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27177 + ... + 27255.

22150064 is an apocalyptic number.

2150064 is a gapful number since it is divisible by the number (24) 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 2150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610880).

2150064 is an abundant number, since it is smaller than the sum of its proper divisors (5071696).

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

2150064 is an equidigital number, since it uses as much as digits as its factorization.

2150064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

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

The square root of 2150064 is about 1466.3096535180. The cubic root of 2150064 is about 129.0675687124.

Adding to 2150064 its reverse (4600512), we get a palindrome (6750576).

The spelling of 2150064 in words is "two million, one hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 79 81 84 108 112 126 144 158 162 168 189 216 237 243 252 316 324 336 378 432 474 486 504 553 567 632 648 711 756 948 972 1008 1106 1134 1264 1296 1422 1512 1659 1701 1896 1944 2133 2212 2268 2844 3024 3318 3402 3792 3888 4266 4424 4536 4977 5688 6399 6636 6804 8532 8848 9072 9954 11376 12798 13272 13608 14931 17064 19197 19908 25596 26544 27216 29862 34128 38394 39816 44793 51192 59724 76788 79632 89586 102384 119448 134379 153576 179172 238896 268758 307152 358344 537516 716688 1075032 2150064