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1214541020 = 2257114318341
BaseRepresentation
bin100100001100100…
…0110110011011100
310010122101002001202
41020121012303130
54441410303040
6320303455032
742045266630
oct11031066334
93118332052
101214541020
11573638710
1229a8b7478
13164815c34
14b7436dc0
157195e015
hex48646cdc

1214541020 has 96 divisors (see below), whose sum is σ = 3254017536. Its totient is φ = 369734400.

The previous prime is 1214541017. The next prime is 1214541061. The reversal of 1214541020 is 201454121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1214540983 and 1214541001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57050 + ... + 75390.

It is an arithmetic number, because the mean of its divisors is an integer number (33896016).

Almost surely, 21214541020 is an apocalyptic number.

1214541020 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 1214541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627008768).

1214541020 is an abundant number, since it is smaller than the sum of its proper divisors (2039476516).

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

1214541020 is a wasteful number, since it uses less digits than its factorization.

1214541020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18411 (or 18409 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1214541020 is about 34850.2657091736. The cubic root of 1214541020 is about 1066.9336087542.

Adding to 1214541020 its reverse (201454121), we get a palindrome (1415995141).

The spelling of 1214541020 in words is "one billion, two hundred fourteen million, five hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 110 140 154 172 215 220 301 308 385 430 473 602 770 860 946 1204 1505 1540 1892 2365 3010 3311 4730 6020 6622 9460 13244 16555 18341 33110 36682 66220 73364 91705 128387 183410 201751 256774 366820 403502 513548 641935 788663 807004 1008755 1283870 1412257 1577326 2017510 2567740 2824514 3154652 3943315 4035020 5520641 5649028 7061285 7886630 8675293 11041282 14122570 15773260 17350586 22082564 27603205 28245140 34701172 43376465 55206410 60727051 86752930 110412820 121454102 173505860 242908204 303635255 607270510 1214541020