Search a number
-
+
15021930 = 2357211929
BaseRepresentation
bin111001010011…
…011101101010
31001021012012210
4321103131222
512321200210
61253545550
7241453500
oct71233552
931235183
1015021930
118530220
1250452b6
13315c621
141dd0670
1514bae20
hexe5376a

15021930 has 96 divisors (see below), whose sum is σ = 45800640. Its totient is φ = 3118080.

The previous prime is 15021899. The next prime is 15021961. The reversal of 15021930 is 3912051.

It is an interprime number because it is at equal distance from previous prime (15021899) and next prime (15021961).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 15021897 and 15021906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15706 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 215021930 is an apocalyptic number.

15021930 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 15021930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

15021930 is an abundant number, since it is smaller than the sum of its proper divisors (30778710).

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

15021930 is a wasteful number, since it uses less digits than its factorization.

With its successor (15021931) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (957).

15021930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 15021930 is about 3875.8134630036. The cubic root of 15021930 is about 246.7413356447.

Adding to 15021930 its reverse (3912051), we get a palindrome (18933981).

It can be divided in two parts, 15021 and 930, that added together give a palindrome (15951).

The spelling of 15021930 in words is "fifteen million, twenty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 929 1078 1155 1470 1617 1858 2310 2695 2787 3234 4645 5390 5574 6503 8085 9290 10219 13006 13935 16170 19509 20438 27870 30657 32515 39018 45521 51095 61314 65030 71533 91042 97545 102190 136563 143066 153285 195090 214599 227605 273126 306570 357665 429198 455210 500731 682815 715330 1001462 1072995 1365630 1502193 2145990 2503655 3004386 5007310 7510965 15021930