Search a number
-
+
1052434110 = 2357132391613
BaseRepresentation
bin111110101110101…
…101111010111110
32201100100012012010
4332232231322332
54123410342420
6252233152050
735036354010
oct7656557276
92640305163
101052434110
114a0087362
1225455b626
1313a0684a0
149daba1b0
15625dc4e0
hex3ebadebe

1052434110 has 128 divisors (see below), whose sum is σ = 3123671040. Its totient is φ = 220985856.

The previous prime is 1052434087. The next prime is 1052434133. The reversal of 1052434110 is 114342501.

It is an interprime number because it is at equal distance from previous prime (1052434087) and next prime (1052434133).

It is a super-2 number, since 2×10524341102 = 2215235111782984200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651664 + ... + 653276.

It is an arithmetic number, because the mean of its divisors is an integer number (24403680).

Almost surely, 21052434110 is an apocalyptic number.

1052434110 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 1052434110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561835520).

1052434110 is an abundant number, since it is smaller than the sum of its proper divisors (2071236930).

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

1052434110 is a wasteful number, since it uses less digits than its factorization.

1052434110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1052434110 is about 32441.2408825556. The cubic root of 1052434110 is about 1017.1811540327.

Adding to 1052434110 its reverse (114342501), we get a palindrome (1166776611).

The spelling of 1052434110 in words is "one billion, fifty-two million, four hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 239 273 390 455 478 546 717 910 1195 1365 1434 1613 1673 2390 2730 3107 3226 3346 3585 4839 5019 6214 7170 8065 8365 9321 9678 10038 11291 15535 16130 16730 18642 20969 21749 22582 24195 25095 31070 33873 41938 43498 46605 48390 50190 56455 62907 65247 67746 93210 104845 108745 112910 125814 130494 146783 169365 209690 217490 293566 314535 326235 338730 385507 440349 629070 652470 733915 771014 880698 1156521 1467830 1927535 2201745 2313042 2698549 3855070 4403490 5011591 5397098 5782605 8095647 10023182 11565210 13492745 15034773 16191294 25057955 26985490 30069546 35081137 40478235 50115910 70162274 75173865 80956470 105243411 150347730 175405685 210486822 350811370 526217055 1052434110