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1378842480 = 24335837691
BaseRepresentation
bin101001000101111…
…0111011101110000
310120002112110022000
41102023313131300
510310440424410
6344453214000
746111652631
oct12213673560
93502473260
101378842480
11648358844
12325931300
1318c881532
14d11a5888
15810b5dc0
hex522f7770

1378842480 has 160 divisors (see below), whose sum is σ = 4807192320. Its totient is φ = 363214080.

The previous prime is 1378842473. The next prime is 1378842503. The reversal of 1378842480 is 842488731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175435 + ... + 183125.

It is an arithmetic number, because the mean of its divisors is an integer number (30044952).

Almost surely, 21378842480 is an apocalyptic number.

1378842480 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 1378842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403596160).

1378842480 is an abundant number, since it is smaller than the sum of its proper divisors (3428349840).

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

1378842480 is a wasteful number, since it uses less digits than its factorization.

1378842480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 1378842480 is about 37132.7682781664. The cubic root of 1378842480 is about 1113.0249120774.

The spelling of 1378842480 in words is "one billion, three hundred seventy-eight million, eight hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 83 90 108 120 135 144 166 180 216 240 249 270 332 360 415 432 498 540 664 720 747 830 996 1080 1245 1328 1494 1660 1992 2160 2241 2490 2988 3320 3735 3984 4482 4980 5976 6640 7470 7691 8964 9960 11205 11952 14940 15382 17928 19920 22410 23073 29880 30764 35856 38455 44820 46146 59760 61528 69219 76910 89640 92292 115365 123056 138438 153820 179280 184584 207657 230730 276876 307640 346095 369168 415314 461460 553752 615280 638353 692190 830628 922920 1038285 1107504 1276706 1384380 1661256 1845840 1915059 2076570 2553412 2768760 3191765 3322512 3830118 4153140 5106824 5537520 5745177 6383530 7660236 8306280 9575295 10213648 11490354 12767060 15320472 16612560 17235531 19150590 22980708 25534120 28725885 30640944 34471062 38301180 45961416 51068240 57451770 68942124 76602360 86177655 91922832 114903540 137884248 153204720 172355310 229807080 275768496 344710620 459614160 689421240 1378842480