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1214020038 = 237117513499
BaseRepresentation
bin100100001011100…
…0111100111000110
310010121101121102010
41020113013213012
54441242120123
6320244355050
742041000010
oct11027074706
93117347363
101214020038
11573312250
1229a6a5a86
13164692a6a
14b733d1b0
15718a9993
hex485c79c6

1214020038 has 64 divisors (see below), whose sum is σ = 3032064000. Its totient is φ = 314820000.

The previous prime is 1214020037. The next prime is 1214020039. The reversal of 1214020038 is 8300204121.

It is an interprime number because it is at equal distance from previous prime (1214020037) and next prime (1214020039).

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

It is a junction number, because it is equal to n+sod(n) for n = 1214019996 and 1214020023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214020037) 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, 345213 + ... + 348711.

It is an arithmetic number, because the mean of its divisors is an integer number (47376000).

Almost surely, 21214020038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214020038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516032000).

1214020038 is an abundant number, since it is smaller than the sum of its proper divisors (1818043962).

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

1214020038 is a wasteful number, since it uses less digits than its factorization.

1214020038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1214020038 is about 34842.7903302821. The cubic root of 1214020038 is about 1066.7810318566.

Adding to 1214020038 its reverse (8300204121), we get a palindrome (9514224159).

The spelling of 1214020038 in words is "one billion, two hundred fourteen million, twenty thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 751 1502 2253 3499 4506 5257 6998 8261 10497 10514 15771 16522 20994 24493 24783 31542 38489 48986 49566 57827 73479 76978 115467 115654 146958 173481 230934 269423 346962 538846 808269 1616538 2627749 5255498 7883247 15766494 18394243 28905239 36788486 55182729 57810478 86715717 110365458 173431434 202336673 404673346 607010019 1214020038