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15428070 = 23557907
BaseRepresentation
bin111010110110…
…100111100110
31002000211100000
4322312213212
512422144240
61310402130
7245064540
oct72664746
932024300
1015428070
118788379
125200346
133272448
142098690
15154b430
hexeb69e6

15428070 has 96 divisors (see below), whose sum is σ = 47593728. Its totient is φ = 3522528.

The previous prime is 15428051. The next prime is 15428071. The reversal of 15428070 is 7082451.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15428071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16557 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (495768).

Almost surely, 215428070 is an apocalyptic number.

15428070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15428070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23796864).

15428070 is an abundant number, since it is smaller than the sum of its proper divisors (32165658).

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

15428070 is an equidigital number, since it uses as much as digits as its factorization.

15428070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 15428070 is about 3927.8581949964. The cubic root of 15428070 is about 248.9452630444.

It can be divided in two parts, 154 and 28070, that added together give a square (28224 = 1682).

The spelling of 15428070 in words is "fifteen million, four hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 907 945 1134 1215 1701 1814 1890 2430 2721 2835 3402 4535 5442 5670 6349 8163 8505 9070 12698 13605 16326 17010 19047 24489 27210 31745 38094 40815 48978 57141 63490 73467 81630 95235 114282 122445 146934 171423 190470 220401 244890 285705 342846 367335 440802 514269 571410 734670 857115 1028538 1102005 1542807 1714230 2204010 2571345 3085614 5142690 7714035 15428070