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10030240 = 2551141139
BaseRepresentation
bin100110010000…
…110010100000
3200212120220101
4212100302200
510031431430
6554552144
7151153453
oct46206240
920776811
1010030240
115730960
123438654
13210256c
14149149a
15d31dca
hex990ca0

10030240 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 3532800.

The previous prime is 10030217. The next prime is 10030247. The reversal of 10030240 is 4203001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10030247) 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, 72091 + ... + 72229.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 210030240 is an apocalyptic number.

10030240 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 10030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

10030240 is an abundant number, since it is smaller than the sum of its proper divisors (16641440).

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

10030240 is a wasteful number, since it uses less digits than its factorization.

10030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10030240 is about 3167.0554147346. The cubic root of 10030240 is about 215.6604174826.

Adding to 10030240 its reverse (4203001), we get a palindrome (14233241).

The spelling of 10030240 in words is "ten million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 139 160 164 176 205 220 278 328 352 410 440 451 556 656 695 820 880 902 1112 1312 1390 1529 1640 1760 1804 2224 2255 2780 3058 3280 3608 4448 4510 5560 5699 6116 6560 7216 7645 9020 11120 11398 12232 14432 15290 18040 22240 22796 24464 28495 30580 36080 45592 48928 56990 61160 62689 72160 91184 113980 122320 125378 182368 227960 244640 250756 313445 455920 501512 626890 911840 1003024 1253780 2006048 2507560 5015120 10030240