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10423440 = 2432531467
BaseRepresentation
bin100111110000…
…110010010000
3201121120021100
4213300302100
510132022230
61011224400
7154412016
oct47606220
921546240
1010423440
11597a315
1235a8100
13220c521
1415548b6
15dad660
hex9f0c90

10423440 has 120 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 2684160.

The previous prime is 10423433. The next prime is 10423453. The reversal of 10423440 is 4432401.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22087 + ... + 22553.

Almost surely, 210423440 is an apocalyptic number.

10423440 is a gapful number since it is divisible by the number (10) 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 10423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

10423440 is an abundant number, since it is smaller than the sum of its proper divisors (25788528).

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

10423440 is a wasteful number, since it uses less digits than its factorization.

10423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10423440 is about 3228.5352716054. The cubic root of 10423440 is about 218.4424423412.

Adding to 10423440 its reverse (4432401), we get a palindrome (14855841).

The spelling of 10423440 in words is "ten million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 467 496 558 620 720 744 930 934 1116 1240 1395 1401 1488 1860 1868 2232 2335 2480 2790 2802 3720 3736 4203 4464 4670 5580 5604 7005 7440 7472 8406 9340 11160 11208 14010 14477 16812 18680 21015 22320 22416 28020 28954 33624 37360 42030 43431 56040 57908 67248 72385 84060 86862 112080 115816 130293 144770 168120 173724 217155 231632 260586 289540 336240 347448 434310 521172 579080 651465 694896 868620 1042344 1158160 1302930 1737240 2084688 2605860 3474480 5211720 10423440