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10001412 = 22322347257
BaseRepresentation
bin100110001001…
…110000000100
3200211010100200
4212021300010
510030021122
6554210500
7151003431
oct46116004
920733320
1010001412
115711233
123423a30
1320c23c5
141484b88
15d285ac
hex989c04

10001412 has 72 divisors (see below), whose sum is σ = 27046656. Its totient is φ = 3108864.

The previous prime is 10001401. The next prime is 10001419. The reversal of 10001412 is 21410001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001394 and 10001403.

It is not an unprimeable number, because it can be changed into a prime (10001419) 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, 38788 + ... + 39044.

It is an arithmetic number, because the mean of its divisors is an integer number (375648).

Almost surely, 210001412 is an apocalyptic number.

10001412 is a gapful number since it is divisible by the number (12) 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 10001412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523328).

10001412 is an abundant number, since it is smaller than the sum of its proper divisors (17045244).

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

10001412 is a wasteful number, since it uses less digits than its factorization.

10001412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10001412 is about 3162.5009090908. The cubic root of 10001412 is about 215.4536087319.

Adding to 10001412 its reverse (21410001), we get a palindrome (31411413).

The spelling of 10001412 in words is "ten million, one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 257 276 282 414 423 514 564 771 828 846 1028 1081 1542 1692 2162 2313 3084 3243 4324 4626 5911 6486 9252 9729 11822 12079 12972 17733 19458 23644 24158 35466 36237 38916 48316 53199 70932 72474 106398 108711 144948 212796 217422 277817 434844 555634 833451 1111268 1666902 2500353 3333804 5000706 10001412