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1244680020 = 2236585369
BaseRepresentation
bin100101000110000…
…0100111101010100
310012202002022000000
41022030010331110
510022114230040
6323301451300
742562414503
oct11214047524
93182068000
101244680020
11589653581
122a8a10b30
1316ab3926c
14bb44083a
1574414130
hex4a304f54

1244680020 has 84 divisors (see below), whose sum is σ = 3918995220. Its totient is φ = 331910784.

The previous prime is 1244680013. The next prime is 1244680043. The reversal of 1244680020 is 200864421.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 1095742404 = 12204^2 + 33102^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28105 + ... + 57264.

It is an arithmetic number, because the mean of its divisors is an integer number (46654705).

Almost surely, 21244680020 is an apocalyptic number.

1244680020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244680020 is an abundant number, since it is smaller than the sum of its proper divisors (2674315200).

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

1244680020 is an equidigital number, since it uses as much as digits as its factorization.

1244680020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85396 (or 85379 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1244680020 is about 35280.0229591762. The cubic root of 1244680020 is about 1075.6869652727.

The spelling of 1244680020 in words is "one billion, two hundred forty-four million, six hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 85369 170738 256107 341476 426845 512214 768321 853690 1024428 1280535 1536642 1707380 2304963 2561070 3073284 3841605 4609926 5122140 6914889 7683210 9219852 11524815 13829778 15366420 20744667 23049630 27659556 34574445 41489334 46099260 62234001 69148890 82978668 103723335 124468002 138297780 207446670 248936004 311170005 414893340 622340010 1244680020