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1378430480 = 245723107021
BaseRepresentation
bin101001000101001…
…0010111000010000
310120001202112010202
41102022102320100
510310334233410
6344440314332
746105315520
oct12212227020
93501675122
101378430480
116480a7249
123257729a8
1318c768b4b
14d10d9680
1581033ca5
hex52292e10

1378430480 has 80 divisors (see below), whose sum is σ = 3821969664. Its totient is φ = 452052480.

The previous prime is 1378430479. The next prime is 1378430561. The reversal of 1378430480 is 840348731.

It is a tau number, because it is divible by the number of its divisors (80).

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, 40631 + ... + 66390.

Almost surely, 21378430480 is an apocalyptic number.

1378430480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378430480 is an abundant number, since it is smaller than the sum of its proper divisors (2443539184).

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

1378430480 is a wasteful number, since it uses less digits than its factorization.

1378430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107064 (or 107058 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 1378430480 is about 37127.2202029724. The cubic root of 1378430480 is about 1112.9140432505.

The spelling of 1378430480 in words is "one billion, three hundred seventy-eight million, four hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 107021 214042 428084 535105 749147 856168 1070210 1498294 1712336 2140420 2461483 2996588 3745735 4280840 4922966 5993176 7491470 8561680 9845932 11986352 12307415 14982940 17230381 19691864 24614830 29965880 34460762 39383728 49229660 59931760 68921524 86151905 98459320 137843048 172303810 196918640 275686096 344607620 689215240 1378430480