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1366534144 = 2112367433
BaseRepresentation
bin101000101110011…
…1010100000000000
310112020101010102201
41101130322200000
510244313043034
6343333322544
745602230363
oct12134724000
93466333381
101366534144
11641411368
12321796454
1318a1620b1
14cd6c00da
157ee84014
hex5173a800

1366534144 has 96 divisors (see below), whose sum is σ = 2900439360. Its totient is φ = 642318336.

The previous prime is 1366534133. The next prime is 1366534177. The reversal of 1366534144 is 4414356631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3155752 + ... + 3156184.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 21366534144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450219680).

1366534144 is an abundant number, since it is smaller than the sum of its proper divisors (1533905216).

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

1366534144 is an equidigital number, since it uses as much as digits as its factorization.

1366534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 1366534144 is about 36966.6626029454. The cubic root of 1366534144 is about 1109.7031763220.

The spelling of 1366534144 in words is "one billion, three hundred sixty-six million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 128 134 184 256 268 368 433 512 536 736 866 1024 1072 1472 1541 1732 2048 2144 2944 3082 3464 4288 5888 6164 6928 8576 9959 11776 12328 13856 17152 19918 23552 24656 27712 29011 34304 39836 47104 49312 55424 58022 68608 79672 98624 110848 116044 137216 159344 197248 221696 232088 318688 394496 443392 464176 637376 667253 788992 886784 928352 1274752 1334506 1577984 1856704 2549504 2669012 3155968 3713408 5099008 5338024 7426816 10198016 10676048 14853632 20396032 21352096 29707264 42704192 59414528 85408384 170816768 341633536 683267072 1366534144