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1140306216 = 233729593967
BaseRepresentation
bin100001111110111…
…1011000100101000
32221110200120001120
41003331323010220
54313404244331
6305052415240
740154304630
oct10375730450
92843616046
101140306216
11535744a35
12279a77520
13152323a0a
14ab6316c0
156a198796
hex43f7b128

1140306216 has 128 divisors (see below), whose sum is σ = 3428352000. Its totient is φ = 309157632.

The previous prime is 1140306191. The next prime is 1140306217. The reversal of 1140306216 is 6126030411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1140306217) 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, 285465 + ... + 289431.

It is an arithmetic number, because the mean of its divisors is an integer number (26784000).

Almost surely, 21140306216 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 1140306216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176000).

1140306216 is an abundant number, since it is smaller than the sum of its proper divisors (2288045784).

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

1140306216 is a wasteful number, since it uses less digits than its factorization.

1140306216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1140306216 is about 33768.4203953931. The cubic root of 1140306216 is about 1044.7374525672.

Adding to 1140306216 its reverse (6126030411), we get a palindrome (7266336627).

The spelling of 1140306216 in words is "one billion, one hundred forty million, three hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 59 84 87 116 118 168 174 177 203 232 236 348 354 406 413 472 609 696 708 812 826 1218 1239 1416 1624 1652 1711 2436 2478 3304 3422 3967 4872 4956 5133 6844 7934 9912 10266 11901 11977 13688 15868 20532 23802 23954 27769 31736 35931 41064 47604 47908 55538 71862 83307 95208 95816 111076 115043 143724 166614 222152 230086 234053 287448 333228 345129 460172 468106 666456 690258 702159 805301 920344 936212 1380516 1404318 1610602 1638371 1872424 2415903 2761032 2808636 3221204 3276742 4831806 4915113 5617272 6442408 6553484 6787537 9663612 9830226 13106968 13575074 19327224 19660452 20362611 27150148 39320904 40725222 47512759 54300296 81450444 95025518 142538277 162900888 190051036 285076554 380102072 570153108 1140306216