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28151520 = 2535223263
BaseRepresentation
bin110101101100…
…0111011100000
31221222020121220
41223120323200
524201322040
62443215040
7461166255
oct153307340
957866556
1028151520
1114988721
129517480
135aa8807
143a4b42c
1527112d0
hex1ad8ee0

28151520 has 96 divisors (see below), whose sum is σ = 89413632. Its totient is φ = 7444992.

The previous prime is 28151491. The next prime is 28151537. The reversal of 28151520 is 2515182.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106909 + ... + 107171.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 228151520 is an apocalyptic number.

28151520 is a gapful number since it is divisible by the number (20) 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 28151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

28151520 is an abundant number, since it is smaller than the sum of its proper divisors (61262112).

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

28151520 is a wasteful number, since it uses less digits than its factorization.

28151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 28151520 is about 5305.8005993441. The cubic root of 28151520 is about 304.2056549343.

The spelling of 28151520 in words is "twenty-eight million, one hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 263 446 480 526 669 789 892 1052 1115 1315 1338 1578 1784 2104 2230 2630 2676 3156 3345 3568 3945 4208 4460 5260 5352 6312 6690 7136 7890 8416 8920 10520 10704 12624 13380 15780 17840 21040 21408 25248 26760 31560 35680 42080 53520 58649 63120 107040 117298 126240 175947 234596 293245 351894 469192 586490 703788 879735 938384 1172980 1407576 1759470 1876768 2345960 2815152 3518940 4691920 5630304 7037880 9383840 14075760 28151520