Search a number
-
+
1114001430 = 235314389313
BaseRepresentation
bin100001001100110…
…0101000000010110
32212122012010200020
41002121211000112
54240141021210
6302312530010
736414566403
oct10231450026
92778163606
101114001430
11521908843
122710b0906
13149a43959
14a7d452aa
1567bee770
hex42665016

1114001430 has 128 divisors (see below), whose sum is σ = 2864885760. Its totient is φ = 276756480.

The previous prime is 1114001411. The next prime is 1114001437. The reversal of 1114001430 is 341004111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114001437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3558954 + ... + 3559266.

It is an arithmetic number, because the mean of its divisors is an integer number (22381920).

Almost surely, 21114001430 is an apocalyptic number.

1114001430 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 1114001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432442880).

1114001430 is an abundant number, since it is smaller than the sum of its proper divisors (1750884330).

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

1114001430 is a wasteful number, since it uses less digits than its factorization.

1114001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1114001430 is about 33376.6599587197. The cubic root of 1114001430 is about 1036.6414803258.

Adding to 1114001430 its reverse (341004111), we get a palindrome (1455005541).

The spelling of 1114001430 in words is "one billion, one hundred fourteen million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 43 62 86 89 93 129 155 178 186 215 258 267 310 313 430 445 465 534 626 645 890 930 939 1290 1333 1335 1565 1878 2666 2670 2759 3130 3827 3999 4695 5518 6665 7654 7998 8277 9390 9703 11481 13330 13459 13795 16554 19135 19406 19995 22962 26918 27590 27857 29109 38270 39990 40377 41385 48515 55714 57405 58218 67295 80754 82770 83571 97030 114810 118637 134590 139285 145545 167142 201885 237274 278570 291090 355911 403770 417229 417855 593185 711822 834458 835710 863567 1186370 1197851 1251687 1727134 1779555 2086145 2395702 2503374 2590701 3559110 3593553 4172290 4317835 5181402 5989255 6258435 7187106 8635670 11978510 12516870 12953505 17967765 25907010 35935530 37133381 74266762 111400143 185666905 222800286 371333810 557000715 1114001430