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10422944 = 257193179
BaseRepresentation
bin100111110000…
…101010100000
3201121112120222
4213300222200
510132013234
61011222212
7154410410
oct47605240
921545528
1010422944
115979a04
1235a7968
13220c22c
141554640
15dad42e
hex9f0aa0

10422944 has 96 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 4043520.

The previous prime is 10422917. The next prime is 10422949. The reversal of 10422944 is 44922401.

It is not an unprimeable number, because it can be changed into a prime (10422949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131897 + ... + 131975.

It is an arithmetic number, because the mean of its divisors is an integer number (268800).

Almost surely, 210422944 is an apocalyptic number.

10422944 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 10422944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902400).

10422944 is an abundant number, since it is smaller than the sum of its proper divisors (15381856).

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

10422944 is a wasteful number, since it uses less digits than its factorization.

10422944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10422944 is about 3228.4584556720. The cubic root of 10422944 is about 218.4389774208.

The spelling of 10422944 in words is "ten million, four hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 79 112 124 133 152 158 217 224 248 266 304 316 434 496 532 553 589 608 632 868 992 1064 1106 1178 1264 1501 1736 2128 2212 2356 2449 2528 3002 3472 4123 4256 4424 4712 4898 6004 6944 8246 8848 9424 9796 10507 12008 16492 17143 17696 18848 19592 21014 24016 32984 34286 39184 42028 46531 48032 65968 68572 78368 84056 93062 131936 137144 168112 186124 274288 325717 336224 372248 548576 651434 744496 1302868 1488992 2605736 5211472 10422944