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10422144 = 273283109
BaseRepresentation
bin100111110000…
…011110000000
3201121111111100
4213300132000
510132002034
61011214400
7154405155
oct47603600
921544440
1010422144
115979347
1235a7400
13220ba65
14155422c
15dad099
hex9f0780

10422144 has 96 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 3400704.

The previous prime is 10422143. The next prime is 10422163. The reversal of 10422144 is 44122401.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95562 + ... + 95670.

Almost surely, 210422144 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 10422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

10422144 is an abundant number, since it is smaller than the sum of its proper divisors (20208456).

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

10422144 is a wasteful number, since it uses less digits than its factorization.

10422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

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

The square root of 10422144 is about 3228.3345551538. The cubic root of 10422144 is about 218.4333886079.

Adding to 10422144 its reverse (44122401), we get a palindrome (54544545).

The spelling of 10422144 in words is "ten million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 109 128 144 166 192 218 249 288 327 332 384 436 498 576 654 664 747 872 981 996 1152 1308 1328 1494 1744 1962 1992 2616 2656 2988 3488 3924 3984 5232 5312 5976 6976 7848 7968 9047 10464 10624 11952 13952 15696 15936 18094 20928 23904 27141 31392 31872 36188 41856 47808 54282 62784 72376 81423 95616 108564 125568 144752 162846 217128 289504 325692 434256 579008 651384 868512 1158016 1302768 1737024 2605536 3474048 5211072 10422144