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10161408 = 283101131
BaseRepresentation
bin100110110000…
…110100000000
3201010020211110
4212300310000
510100131113
61001443320
7152241045
oct46606400
921106743
1010161408
115810464
1234a0540
13214a18a
1414c71cc
15d5abc3
hex9b0d00

10161408 has 72 divisors (see below), whose sum is σ = 27520416. Its totient is φ = 3328000.

The previous prime is 10161407. The next prime is 10161413. The reversal of 10161408 is 80416101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77503 + ... + 77633.

It is an arithmetic number, because the mean of its divisors is an integer number (382228).

Almost surely, 210161408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760208).

10161408 is an abundant number, since it is smaller than the sum of its proper divisors (17359008).

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

10161408 is a wasteful number, since it uses less digits than its factorization.

10161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10161408 is about 3187.6963468938. The cubic root of 10161408 is about 216.5964311465.

Adding to 10161408 its reverse (80416101), we get a palindrome (90577509).

The spelling of 10161408 in words is "ten million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 131 192 202 256 262 303 384 393 404 524 606 768 786 808 1048 1212 1572 1616 2096 2424 3144 3232 4192 4848 6288 6464 8384 9696 12576 12928 13231 16768 19392 25152 25856 26462 33536 38784 39693 50304 52924 77568 79386 100608 105848 158772 211696 317544 423392 635088 846784 1270176 1693568 2540352 3387136 5080704 10161408