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1378967940 = 2232571957601
BaseRepresentation
bin101001000110001…
…0110000110000100
310120002202211101200
41102030112012010
510311003433230
6344500022500
746113014460
oct12214260604
93502684350
101378967940
11648434029
12325991a30
1318c8c667c
14d11d94a0
15810dd160
hex52316184

1378967940 has 144 divisors (see below), whose sum is σ = 5032110720. Its totient is φ = 298598400.

The previous prime is 1378967897. The next prime is 1378967977. The reversal of 1378967940 is 497698731.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 4861 + ... + 52740.

Almost surely, 21378967940 is an apocalyptic number.

1378967940 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 1378967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516055360).

1378967940 is an abundant number, since it is smaller than the sum of its proper divisors (3653142780).

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

1378967940 is a wasteful number, since it uses less digits than its factorization.

1378967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57642 (or 57637 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1378967940 is about 37134.4575832205. The cubic root of 1378967940 is about 1113.0586688632.

The spelling of 1378967940 in words is "one billion, three hundred seventy-eight million, nine hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 57601 115202 172803 230404 288005 345606 403207 518409 576010 691212 806414 864015 1036818 1094419 1152020 1209621 1612828 1728030 2016035 2073636 2188838 2419242 2592045 3283257 3456060 3628863 4032070 4377676 4838484 5184090 5472095 6048105 6566514 7257726 7660933 8064140 9849771 10368180 10944190 12096210 13133028 14515452 15321866 16416285 18144315 19699542 21888380 22982799 24192420 30643732 32832570 36288630 38304665 39399084 45965598 49248855 65665140 68948397 72577260 76609330 91931196 98497710 114913995 137896794 153218660 196995420 229827990 275793588 344741985 459655980 689483970 1378967940