Search a number
-
+
19057428 = 22321343947
BaseRepresentation
bin100100010110…
…0101100010100
31022212012212200
41020230230110
514334314203
61520244500
7320662005
oct110545424
938765780
1019057428
11a837145
126470730
133c433b0
1427611ac
151a169a3
hex122cb14

19057428 has 72 divisors (see below), whose sum is σ = 53141088. Its totient is φ = 5721408.

The previous prime is 19057427. The next prime is 19057433. The reversal of 19057428 is 82475091.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19057392 and 19057401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19057427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19651 + ... + 20597.

Almost surely, 219057428 is an apocalyptic number.

19057428 is a gapful number since it is divisible by the number (18) 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 19057428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26570544).

19057428 is an abundant number, since it is smaller than the sum of its proper divisors (34083660).

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

19057428 is a wasteful number, since it uses less digits than its factorization.

19057428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 19057428 is about 4365.4814167512. The cubic root of 19057428 is about 267.1087382704.

The spelling of 19057428 in words is "nineteen million, fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 947 1118 1548 1677 1894 2236 2841 3354 3788 5031 5682 6708 8523 10062 11364 12311 17046 20124 24622 34092 36933 40721 49244 73866 81442 110799 122163 147732 162884 221598 244326 366489 443196 488652 529373 732978 1058746 1465956 1588119 2117492 3176238 4764357 6352476 9528714 19057428