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10550144 = 271159127
BaseRepresentation
bin101000001111…
…101110000000
3201212000002002
4220033232000
510200101034
61014043132
7155450303
oct50175600
921760062
1010550144
115a56530
1236494a8
1322550b7
141588b3a
15dd5e7e
hexa0fb80

10550144 has 64 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 4677120.

The previous prime is 10550131. The next prime is 10550147. The reversal of 10550144 is 44105501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105501442 = 222611076841472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10550147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83009 + ... + 83135.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 210550144 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 10550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

10550144 is an abundant number, since it is smaller than the sum of its proper divisors (12950656).

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

10550144 is a wasteful number, since it uses less digits than its factorization.

10550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 10550144 is about 3248.0985206733. The cubic root of 10550144 is about 219.3239854809.

Adding to 10550144 its reverse (44105501), we get a palindrome (54655645).

The spelling of 10550144 in words is "ten million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 127 128 176 236 254 352 472 508 649 704 944 1016 1298 1397 1408 1888 2032 2596 2794 3776 4064 5192 5588 7493 7552 8128 10384 11176 14986 16256 20768 22352 29972 41536 44704 59944 82423 83072 89408 119888 164846 178816 239776 329692 479552 659384 959104 1318768 2637536 5275072 10550144