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103032064 = 28676007
BaseRepresentation
bin1100010010000…
…10010100000000
321011212120102101
412021002110000
5202334011224
614120200144
72360521012
oct611022400
9234776371
10103032064
1153182573
122a609054
1318465925
14d9801b2
1590a3044
hex6242500

103032064 has 36 divisors (see below), whose sum is σ = 208765984. Its totient is φ = 50738688.

The previous prime is 103032043. The next prime is 103032073. The reversal of 103032064 is 460230301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14149 + ... + 20155.

Almost surely, 2103032064 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 103032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104382992).

103032064 is an abundant number, since it is smaller than the sum of its proper divisors (105733920).

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

103032064 is an frugal number, since it uses more digits than its factorization.

103032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 103032064 is about 10150.4711220711. The cubic root of 103032064 is about 468.8034509952.

Adding to 103032064 its reverse (460230301), we get a palindrome (563262365).

The spelling of 103032064 in words is "one hundred three million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 6007 8576 12014 17152 24028 48056 96112 192224 384448 402469 768896 804938 1537792 1609876 3219752 6439504 12879008 25758016 51516032 103032064