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1140330030 = 2357191072671
BaseRepresentation
bin100001111111000…
…0000111000101110
32221110201202201120
41003332000320232
54313411030110
6305053121410
740154434230
oct10376007056
92843652646
101140330030
11535760914
12279a89266
131523317c8
14ab63a250
156a1a0870
hex43f80e2e

1140330030 has 128 divisors (see below), whose sum is σ = 3324395520. Its totient is φ = 244529280.

The previous prime is 1140330001. The next prime is 1140330031. The reversal of 1140330030 is 300330411.

It is a super-4 number, since 4×11403300304 (a number of 37 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140329991 and 1140330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140330031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425595 + ... + 428265.

It is an arithmetic number, because the mean of its divisors is an integer number (25971840).

Almost surely, 21140330030 is an apocalyptic number.

1140330030 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 1140330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662197760).

1140330030 is an abundant number, since it is smaller than the sum of its proper divisors (2184065490).

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

1140330030 is a wasteful number, since it uses less digits than its factorization.

1140330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1140330030 is about 33768.7730011027. The cubic root of 1140330030 is about 1044.7447252348.

Adding to 1140330030 its reverse (300330411), we get a palindrome (1440660441).

The spelling of 1140330030 in words is "one billion, one hundred forty million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 107 114 133 190 210 214 266 285 321 399 535 570 642 665 749 798 1070 1330 1498 1605 1995 2033 2247 2671 3210 3745 3990 4066 4494 5342 6099 7490 8013 10165 11235 12198 13355 14231 16026 18697 20330 22470 26710 28462 30495 37394 40065 42693 50749 56091 60990 71155 80130 85386 93485 101498 112182 142310 152247 186970 213465 253745 280455 285797 304494 355243 426930 507490 560910 571594 710486 761235 857391 1065729 1428985 1522470 1714782 1776215 2000579 2131458 2857970 3552430 4001158 4286955 5328645 5430143 6001737 8573910 10002895 10657290 10860286 12003474 16290429 20005790 27150715 30008685 32580858 38011001 54301430 60017370 76022002 81452145 114033003 162904290 190055005 228066006 380110010 570165015 1140330030