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10016132 = 22723103151
BaseRepresentation
bin100110001101…
…010110000100
3200211212112212
4212031112010
510031004012
6554402552
7151064360
oct46152604
920755485
1010016132
1157212a5
123430458
1320c9009
14148a2a0
15d2cb22
hex98d584

10016132 has 48 divisors (see below), whose sum is σ = 21245952. Its totient is φ = 4039200.

The previous prime is 10016101. The next prime is 10016137. The reversal of 10016132 is 23161001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10016137) 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, 66257 + ... + 66407.

It is an arithmetic number, because the mean of its divisors is an integer number (442624).

Almost surely, 210016132 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 10016132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622976).

10016132 is an abundant number, since it is smaller than the sum of its proper divisors (11229820).

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

10016132 is a wasteful number, since it uses less digits than its factorization.

10016132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10016132 is about 3164.8273254634. The cubic root of 10016132 is about 215.5592578967.

Adding to 10016132 its reverse (23161001), we get a palindrome (33177133).

The spelling of 10016132 in words is "ten million, sixteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 103 151 161 206 302 322 412 604 644 721 1057 1442 2114 2369 2884 3473 4228 4738 6946 9476 13892 15553 16583 24311 31106 33166 48622 62212 66332 97244 108871 217742 357719 435484 715438 1430876 2504033 5008066 10016132