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1214153160 = 2335114321391
BaseRepresentation
bin100100001011110…
…1000000111001000
310010121122101000120
41020113220013020
54441310400120
6320251303240
742042063063
oct11027500710
93117571016
101214153160
115733a3270
1229a74ab20
1316470b52c
14b73758da
15718d4140
hex485e81c8

1214153160 has 128 divisors (see below), whose sum is σ = 4066191360. Its totient is φ = 287481600.

The previous prime is 1214153093. The next prime is 1214153167. The reversal of 1214153160 is 613514121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1214153160.

It is not an unprimeable number, because it can be changed into a prime (1214153167) 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, 46065 + ... + 67455.

It is an arithmetic number, because the mean of its divisors is an integer number (31767120).

Almost surely, 21214153160 is an apocalyptic number.

1214153160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214153160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033095680).

1214153160 is an abundant number, since it is smaller than the sum of its proper divisors (2852038200).

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

1214153160 is a wasteful number, since it uses less digits than its factorization.

1214153160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21459 (or 21455 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1214153160 is about 34844.7006013827. The cubic root of 1214153160 is about 1066.8200226556.

Adding to 1214153160 its reverse (613514121), we get a palindrome (1827667281).

The spelling of 1214153160 in words is "one billion, two hundred fourteen million, one hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 21391 28380 42782 56760 64173 85564 106955 128346 171128 213910 235301 256692 320865 427820 470602 513384 641730 705903 855640 919813 941204 1176505 1283460 1411806 1839626 1882408 2353010 2566920 2759439 2823612 3529515 3679252 4599065 4706020 5518878 5647224 7059030 7358504 9198130 9412040 10117943 11037756 13797195 14118060 18396260 20235886 22075512 27594390 28236120 30353829 36792520 40471772 50589715 55188780 60707658 80943544 101179430 110377560 121415316 151769145 202358860 242830632 303538290 404717720 607076580 1214153160