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10429944 = 23374181
BaseRepresentation
bin100111110010…
…010111111000
3201121220012020
4213302113320
510132224234
61011314440
7154440000
oct47622770
921556166
1010429944
115984198
1235aba20
132212485
141557000
15db0549
hex9f25f8

10429944 has 80 divisors (see below), whose sum is σ = 30586920. Its totient is φ = 2963520.

The previous prime is 10429927. The next prime is 10429973. The reversal of 10429944 is 44992401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57534 + ... + 57714.

Almost surely, 210429944 is an apocalyptic number.

10429944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293460).

10429944 is an abundant number, since it is smaller than the sum of its proper divisors (20156976).

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

10429944 is an equidigital number, since it uses as much as digits as its factorization.

10429944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10429944 is about 3229.5423824437. The cubic root of 10429944 is about 218.4878673398.

The spelling of 10429944 in words is "ten million, four hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 181 196 294 343 362 392 543 588 686 724 1029 1086 1176 1267 1372 1448 2058 2172 2401 2534 2744 3801 4116 4344 4802 5068 7203 7602 8232 8869 9604 10136 14406 15204 17738 19208 26607 28812 30408 35476 53214 57624 62083 70952 106428 124166 186249 212856 248332 372498 434581 496664 744996 869162 1303743 1489992 1738324 2607486 3476648 5214972 10429944