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45102320 = 245737723
BaseRepresentation
bin1010110000001…
…1010011110000
310010212102202022
42230003103300
543021233240
64250411012
71055235434
oct254032360
9103772668
1045102320
112350604a
1213130a68
139462083
145dc09c4
153e5d9b5
hex2b034f0

45102320 has 40 divisors (see below), whose sum is σ = 106313136. Its totient is φ = 17791488.

The previous prime is 45102307. The next prime is 45102349. The reversal of 45102320 is 2320154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1979 + ... + 9701.

Almost surely, 245102320 is an apocalyptic number.

45102320 is a gapful number since it is divisible by the number (40) 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 45102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53156568).

45102320 is an abundant number, since it is smaller than the sum of its proper divisors (61210816).

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

45102320 is a wasteful number, since it uses less digits than its factorization.

45102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45102320 is about 6715.8260847047. The cubic root of 45102320 is about 355.9587125455.

Adding to 45102320 its reverse (2320154), we get a palindrome (47422474).

The spelling of 45102320 in words is "forty-five million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7723 15446 30892 38615 61784 77230 123568 154460 308920 563779 617840 1127558 2255116 2818895 4510232 5637790 9020464 11275580 22551160 45102320