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10143744 = 211313127
BaseRepresentation
bin100110101100…
…100000000000
3201002100121020
4212230200000
510044044434
61001225440
7152135412
oct46544000
921070536
1010143744
1157a9166
123492280
132142120
1414c09b2
15d55849
hex9ac800

10143744 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 3096576.

The previous prime is 10143737. The next prime is 10143761. The reversal of 10143744 is 44734101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79809 + ... + 79935.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 210143744 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 10143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10143744 is an abundant number, since it is smaller than the sum of its proper divisors (19209216).

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

10143744 is a wasteful number, since it uses less digits than its factorization.

10143744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10143744 is about 3184.9244889008. The cubic root of 10143744 is about 216.4708521439.

Adding to 10143744 its reverse (44734101), we get a palindrome (54877845).

It can be divided in two parts, 1014 and 3744, that multiplied together give a cube (3796416 = 1563).

The spelling of 10143744 in words is "ten million, one hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 256 312 381 384 416 508 512 624 762 768 832 1016 1024 1248 1524 1536 1651 1664 2032 2048 2496 3048 3072 3302 3328 4064 4953 4992 6096 6144 6604 6656 8128 9906 9984 12192 13208 13312 16256 19812 19968 24384 26416 26624 32512 39624 39936 48768 52832 65024 79248 79872 97536 105664 130048 158496 195072 211328 260096 316992 390144 422656 633984 780288 845312 1267968 1690624 2535936 3381248 5071872 10143744