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10044144 = 24321117373
BaseRepresentation
bin100110010100…
…001011110000
3200220021222100
4212110023300
510032403034
6555140400
7151242135
oct46241360
920807870
1010044144
115740350
123444700
1321089a6
14149658c
15d36099
hex9942f0

10044144 has 120 divisors (see below), whose sum is σ = 32555952. Its totient is φ = 2856960.

The previous prime is 10044137. The next prime is 10044149. The reversal of 10044144 is 44144001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26742 + ... + 27114.

Almost surely, 210044144 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 10044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277976).

10044144 is an abundant number, since it is smaller than the sum of its proper divisors (22511808).

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

10044144 is a wasteful number, since it uses less digits than its factorization.

10044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10044144 is about 3169.2497534906. The cubic root of 10044144 is about 215.7600215458.

Adding to 10044144 its reverse (44144001), we get a palindrome (54188145).

It can be divided in two parts, 100 and 44144, that added together give a palindrome (44244).

The spelling of 10044144 in words is "ten million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 373 374 396 408 528 561 612 746 748 792 816 1119 1122 1224 1492 1496 1584 1683 2238 2244 2448 2984 2992 3357 3366 4103 4476 4488 5968 6341 6714 6732 8206 8952 8976 12309 12682 13428 13464 16412 17904 19023 24618 25364 26856 26928 32824 36927 38046 49236 50728 53712 57069 65648 69751 73854 76092 98472 101456 114138 139502 147708 152184 196944 209253 228276 279004 295416 304368 418506 456552 558008 590832 627759 837012 913104 1116016 1255518 1674024 2511036 3348048 5022072 10044144