Search a number
-
+
1040249028 = 223731319441
BaseRepresentation
bin111110000000001…
…111000011000100
32200111102010101210
4332000033003010
54112300432103
6251120051420
734530654000
oct7600170304
92614363353
101040249028
11494214545
12250463b70
13137690190
149c227700
15614d1e03
hex3e00f0c4

1040249028 has 96 divisors (see below), whose sum is σ = 3048505600. Its totient is φ = 274337280.

The previous prime is 1040249027. The next prime is 1040249029. The reversal of 1040249028 is 8209420401.

It is an interprime number because it is at equal distance from previous prime (1040249027) and next prime (1040249029).

It is a junction number, because it is equal to n+sod(n) for n = 1040248986 and 1040249004.

It is not an unprimeable number, because it can be changed into a prime (1040249027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43788 + ... + 63228.

Almost surely, 21040249028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040249028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524252800).

1040249028 is an abundant number, since it is smaller than the sum of its proper divisors (2008256572).

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

1040249028 is a wasteful number, since it uses less digits than its factorization.

1040249028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19466 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1040249028 is about 32252.8917773275. The cubic root of 1040249028 is about 1013.2402643729.

Adding to 1040249028 its reverse (8209420401), we get a palindrome (9249669429).

The spelling of 1040249028 in words is "one billion, forty million, two hundred forty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 2058 2548 3822 4116 4459 7644 8918 13377 17836 19441 26754 38882 53508 58323 77764 116646 136087 233292 252733 272174 408261 505466 544348 758199 816522 952609 1010932 1516398 1633044 1769131 1905218 2857827 3032796 3538262 3810436 5307393 5715654 6668263 7076524 10614786 11431308 12383917 13336526 20004789 21229572 24767834 26673052 37151751 40009578 49535668 74303502 80019156 86687419 148607004 173374838 260062257 346749676 520124514 1040249028