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1220401140 = 223576434519
BaseRepresentation
bin100100010111101…
…1101011111110100
310011001101210122020
41020233131133310
54444410314030
6321033233140
742146144550
oct11057353764
93131353566
101220401140
11576980492
122a08627b0
13165ab836a
14b8120860
157221a510
hex48bdd7f4

1220401140 has 96 divisors (see below), whose sum is σ = 3912222720. Its totient is φ = 278453376.

The previous prime is 1220401139. The next prime is 1220401153. The reversal of 1220401140 is 411040221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267801 + ... + 272319.

It is an arithmetic number, because the mean of its divisors is an integer number (40752320).

Almost surely, 21220401140 is an apocalyptic number.

1220401140 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 1220401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956111360).

1220401140 is an abundant number, since it is smaller than the sum of its proper divisors (2691821580).

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

1220401140 is a wasteful number, since it uses less digits than its factorization.

1220401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1220401140 is about 34934.2402235972. The cubic root of 1220401140 is about 1068.6468293418.

Adding to 1220401140 its reverse (411040221), we get a palindrome (1631441361).

The spelling of 1220401140 in words is "one billion, two hundred twenty million, four hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 643 1286 1929 2572 3215 3858 4501 4519 6430 7716 9002 9038 9645 12860 13503 13557 18004 18076 19290 22505 22595 27006 27114 31633 38580 45010 45190 54012 54228 63266 67515 67785 90020 90380 94899 126532 135030 135570 158165 189798 270060 271140 316330 379596 474495 632660 948990 1897980 2905717 5811434 8717151 11622868 14528585 17434302 20340019 29057170 34868604 40680038 43585755 58114340 61020057 81360076 87171510 101700095 122040114 174343020 203400190 244080228 305100285 406800380 610200570 1220401140