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10614144 = 273131211
BaseRepresentation
bin101000011111…
…010110000000
3201222020212110
4220133112000
510204123034
61015255320
7156135012
oct50372600
921866773
1010614144
115a9a622
12367a540
132278278
1415a41b2
15de9de9
hexa1f580

10614144 has 64 divisors (see below), whose sum is σ = 28543680. Its totient is φ = 3494400.

The previous prime is 10614139. The next prime is 10614167. The reversal of 10614144 is 44141601.

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

It is a super-2 number, since 2×106141442 = 225320105705472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10614144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50199 + ... + 50409.

It is an arithmetic number, because the mean of its divisors is an integer number (445995).

Almost surely, 210614144 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 10614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271840).

10614144 is an abundant number, since it is smaller than the sum of its proper divisors (17929536).

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

10614144 is a wasteful number, since it uses less digits than its factorization.

10614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10614144 is about 3257.9355426405. The cubic root of 10614144 is about 219.7665843942.

Adding to 10614144 its product of nonzero digits (384), we get a triangular number (10614528 = T4607).

Adding to 10614144 its reverse (44141601), we get a palindrome (54755745).

The spelling of 10614144 in words is "ten million, six hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 211 262 384 393 422 524 633 786 844 1048 1266 1572 1688 2096 2532 3144 3376 4192 5064 6288 6752 8384 10128 12576 13504 16768 20256 25152 27008 27641 40512 50304 55282 81024 82923 110564 165846 221128 331692 442256 663384 884512 1326768 1769024 2653536 3538048 5307072 10614144