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10230480 = 24325131093
BaseRepresentation
bin100111000001…
…101011010000
3201020202120200
4213001223100
510104333410
61003135200
7152646321
oct47015320
921222520
1010230480
115858347
123514500
132172750
141504448
15d713c0
hex9c1ad0

10230480 has 120 divisors (see below), whose sum is σ = 37034088. Its totient is φ = 2515968.

The previous prime is 10230457. The next prime is 10230487. The reversal of 10230480 is 8403201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 8225424 = 1416^2 + 2868^2 .

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 not an unprimeable number, because it can be changed into a prime (10230487) 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, 8814 + ... + 9906.

Almost surely, 210230480 is an apocalyptic number.

10230480 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 10230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517044).

10230480 is an abundant number, since it is smaller than the sum of its proper divisors (26803608).

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

10230480 is a wasteful number, since it uses less digits than its factorization.

10230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10230480 is about 3198.5121541117. The cubic root of 10230480 is about 217.0860935256.

Adding to 10230480 its reverse (8403201), we get a palindrome (18633681).

The spelling of 10230480 in words is "ten million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1093 1170 1560 1872 2186 2340 3120 3279 4372 4680 5465 6558 8744 9360 9837 10930 13116 14209 16395 17488 19674 21860 26232 28418 32790 39348 42627 43720 49185 52464 56836 65580 71045 78696 85254 87440 98370 113672 127881 131160 142090 157392 170508 196740 213135 227344 255762 262320 284180 341016 393480 426270 511524 568360 639405 682032 786960 852540 1023048 1136720 1278810 1705080 2046096 2557620 3410160 5115240 10230480