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10051416 = 23321371019
BaseRepresentation
bin100110010101…
…111101011000
3200220122221200
4212111331120
510033121131
6555234200
7151302264
oct46257530
920818850
1010051416
115745861
123448960
13210c0ab
1414990a4
15d382e6
hex995f58

10051416 has 48 divisors (see below), whose sum is σ = 27448200. Its totient is φ = 3322752.

The previous prime is 10051411. The next prime is 10051421. The reversal of 10051416 is 61415001.

It is an interprime number because it is at equal distance from previous prime (10051411) and next prime (10051421).

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 (10051411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9355 + ... + 10373.

Almost surely, 210051416 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 10051416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724100).

10051416 is an abundant number, since it is smaller than the sum of its proper divisors (17396784).

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

10051416 is a wasteful number, since it uses less digits than its factorization.

10051416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10051416 is about 3170.3968205889. The cubic root of 10051416 is about 215.8120793542.

Adding to 10051416 its reverse (61415001), we get a palindrome (71466417).

The spelling of 10051416 in words is "ten million, fifty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1019 1096 1233 1644 2038 2466 3057 3288 4076 4932 6114 8152 9171 9864 12228 18342 24456 36684 73368 139603 279206 418809 558412 837618 1116824 1256427 1675236 2512854 3350472 5025708 10051416