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1378996960 = 255111037607
BaseRepresentation
bin101001000110001…
…1101001011100000
310120002211022012111
41102030131023200
510311010400320
6344500405104
746113165205
oct12214351340
93502738174
101378996960
11648453910
123259a6794
1318c906943
14d1205cac
15810e6a5a
hex5231d2e0

1378996960 has 96 divisors (see below), whose sum is σ = 3589028352. Its totient is φ = 496519680.

The previous prime is 1378996921. The next prime is 1378996961. The reversal of 1378996960 is 696998731.

It is a junction number, because it is equal to n+sod(n) for n = 1378996895 and 1378996904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378996961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 177477 + ... + 185083.

It is an arithmetic number, because the mean of its divisors is an integer number (37385712).

Almost surely, 21378996960 is an apocalyptic number.

1378996960 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 1378996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794514176).

1378996960 is an abundant number, since it is smaller than the sum of its proper divisors (2210031392).

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

1378996960 is a wasteful number, since it uses less digits than its factorization.

1378996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The square root of 1378996960 is about 37134.8483233741. The cubic root of 1378996960 is about 1113.0664768126.

The spelling of 1378996960 in words is "one billion, three hundred seventy-eight million, nine hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 103 110 160 176 206 220 352 412 440 515 824 880 1030 1133 1648 1760 2060 2266 3296 4120 4532 5665 7607 8240 9064 11330 15214 16480 18128 22660 30428 36256 38035 45320 60856 76070 83677 90640 121712 152140 167354 181280 243424 304280 334708 418385 608560 669416 783521 836770 1217120 1338832 1567042 1673540 2677664 3134084 3347080 3917605 6268168 6694160 7835210 8618731 12536336 13388320 15670420 17237462 25072672 31340840 34474924 43093655 62681680 68949848 86187310 125363360 137899696 172374620 275799392 344749240 689498480 1378996960