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10060272 = 2432193677
BaseRepresentation
bin100110011000…
…000111110000
3200221010002200
4212120013300
510033412042
6555343200
7151340145
oct46300760
920833080
1010060272
115751482
123451b00
132113131
14149c3cc
15d3ac4c
hex9981f0

10060272 has 60 divisors (see below), whose sum is σ = 29644680. Its totient is φ = 3176064.

The previous prime is 10060249. The next prime is 10060273. The reversal of 10060272 is 27206001.

It is a happy number.

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 (10060273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (494078).

Almost surely, 210060272 is an apocalyptic number.

10060272 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 10060272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822340).

10060272 is an abundant number, since it is smaller than the sum of its proper divisors (19584408).

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

10060272 is a wasteful number, since it uses less digits than its factorization.

10060272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10060272 is about 3171.7931836739. The cubic root of 10060272 is about 215.8754425905.

Adding to 10060272 its reverse (27206001), we get a palindrome (37266273).

The spelling of 10060272 in words is "ten million, sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3677 7354 11031 14708 22062 29416 33093 44124 58832 66186 69863 88248 132372 139726 176496 209589 264744 279452 419178 529488 558904 628767 838356 1117808 1257534 1676712 2515068 3353424 5030136 10060272