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1381704960 = 28353491031
BaseRepresentation
bin101001001011011…
…0010010100000000
310120021220212212210
41102112302110000
510312204024320
6345034422120
746145204226
oct12226622400
93507825783
101381704960
11649a33429
12326891940
131903443cc
14d170cb16
158147e0e0
hex525b2500

1381704960 has 144 divisors (see below), whose sum is σ = 4429756800. Its totient is φ = 367042560.

The previous prime is 1381704941. The next prime is 1381704983. The reversal of 1381704960 is 694071831.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1339645 + ... + 1340675.

It is an arithmetic number, because the mean of its divisors is an integer number (30762200).

Almost surely, 21381704960 is an apocalyptic number.

1381704960 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 1381704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214878400).

1381704960 is an abundant number, since it is smaller than the sum of its proper divisors (3048051840).

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

1381704960 is a wasteful number, since it uses less digits than its factorization.

1381704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1381704960 is about 37171.2921486461. The cubic root of 1381704960 is about 1113.7945937521.

The spelling of 1381704960 in words is "one billion, three hundred eighty-one million, seven hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 349 384 480 640 698 768 960 1031 1047 1280 1396 1745 1920 2062 2094 2792 3093 3490 3840 4124 4188 5155 5235 5584 6186 6980 8248 8376 10310 10470 11168 12372 13960 15465 16496 16752 20620 20940 22336 24744 27920 30930 32992 33504 41240 41880 44672 49488 55840 61860 65984 67008 82480 83760 89344 98976 111680 123720 131968 134016 164960 167520 197952 223360 247440 263936 268032 329920 335040 359819 395904 446720 494880 659840 670080 719638 791808 989760 1079457 1319680 1340160 1439276 1799095 1979520 2158914 2878552 3598190 3959040 4317828 5397285 5757104 7196380 8635656 10794570 11514208 14392760 17271312 21589140 23028416 28785520 34542624 43178280 46056832 57571040 69085248 86356560 92113664 115142080 138170496 172713120 230284160 276340992 345426240 460568320 690852480 1381704960