Search a number
-
+
1219809420 = 2232516074217
BaseRepresentation
bin100100010110100…
…1101000010001100
310011000021201221200
41020231031002030
54444232400140
6321012425500
742141131454
oct11055150214
93130251850
101219809420
11576606965
122a0618290
1316593bc2b
14b8008d64
1572150030
hex48b4d08c

1219809420 has 72 divisors (see below), whose sum is σ = 3703269024. Its totient is φ = 325003008.

The previous prime is 1219809413. The next prime is 1219809431. The reversal of 1219809420 is 249089121.

It is a super-2 number, since 2×12198094202 = 2975870042241472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287152 + ... + 291368.

It is an arithmetic number, because the mean of its divisors is an integer number (51434292).

Almost surely, 21219809420 is an apocalyptic number.

1219809420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1219809420 is an abundant number, since it is smaller than the sum of its proper divisors (2483459604).

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

1219809420 is a wasteful number, since it uses less digits than its factorization.

1219809420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1219809420 is about 34925.7701418308. The cubic root of 1219809420 is about 1068.4740877990.

The spelling of 1219809420 in words is "one billion, two hundred nineteen million, eight hundred nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1607 3214 4217 4821 6428 8035 8434 9642 12651 14463 16070 16868 19284 21085 24105 25302 28926 32140 37953 42170 48210 50604 57852 63255 72315 75906 84340 96420 126510 144630 151812 189765 253020 289260 379530 759060 6776719 13553438 20330157 27106876 33883595 40660314 60990471 67767190 81320628 101650785 121980942 135534380 203301570 243961884 304952355 406603140 609904710 1219809420