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1240422100 = 2252139233383
BaseRepresentation
bin100100111101111…
…0101011011010100
310012110001222020021
41021323311123110
510020022001400
6323030314524
742511261651
oct11173653324
93173058207
101240422100
11587205535
122a74b8a44
13169ca8198
14baa52c28
1573d7271a
hex49ef56d4

1240422100 has 72 divisors (see below), whose sum is σ = 2729825280. Its totient is φ = 489204480.

The previous prime is 1240422097. The next prime is 1240422109. The reversal of 1240422100 is 12240421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240422109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3238509 + ... + 3238891.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 21240422100 is an apocalyptic number.

1240422100 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 1240422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

1240422100 is an abundant number, since it is smaller than the sum of its proper divisors (1489403180).

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

1240422100 is a wasteful number, since it uses less digits than its factorization.

1240422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1240422100 is about 35219.6266306161. The cubic root of 1240422100 is about 1074.4589597611.

Adding to 1240422100 its reverse (12240421), we get a palindrome (1252662521).

The spelling of 1240422100 in words is "one billion, two hundred forty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 233 278 383 466 556 695 766 932 1165 1390 1532 1915 2330 2780 3475 3830 4660 5825 6950 7660 9575 11650 13900 19150 23300 32387 38300 53237 64774 89239 106474 129548 161935 178478 212948 266185 323870 356956 446195 532370 647740 809675 892390 1064740 1330925 1619350 1784780 2230975 2661850 3238700 4461950 5323700 8923900 12404221 24808442 49616884 62021105 124042210 248084420 310105525 620211050 1240422100