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1378074620 = 2251331374621
BaseRepresentation
bin101001000100011…
…1011111111111100
310120001002102222202
41102020323333330
510310241341440
6344424531032
746102304156
oct12210737774
93501072882
101378074620
1164798394a
12325620a78
1318c672b90
14d1045ad6
1580eb3615
hex5223bffc

1378074620 has 96 divisors (see below), whose sum is σ = 3304766976. Its totient is φ = 479001600.

The previous prime is 1378074611. The next prime is 1378074629. The reversal of 1378074620 is 264708731.

It is an interprime number because it is at equal distance from previous prime (1378074611) and next prime (1378074629).

It is a super-3 number, since 3×13780746203 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378074629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295910 + ... + 300530.

It is an arithmetic number, because the mean of its divisors is an integer number (34424656).

Almost surely, 21378074620 is an apocalyptic number.

1378074620 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 1378074620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652383488).

1378074620 is an abundant number, since it is smaller than the sum of its proper divisors (1926692356).

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

1378074620 is a wasteful number, since it uses less digits than its factorization.

1378074620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 1378074620 is about 37122.4274529563. The cubic root of 1378074620 is about 1112.8182638639.

The spelling of 1378074620 in words is "one billion, three hundred seventy-eight million, seventy-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 37 52 62 65 74 124 130 148 155 185 260 310 370 403 481 620 740 806 962 1147 1612 1924 2015 2294 2405 4030 4588 4621 4810 5735 8060 9242 9620 11470 14911 18484 22940 23105 29822 46210 59644 60073 74555 92420 120146 143251 149110 170977 240292 286502 298220 300365 341954 573004 600730 683908 716255 854885 1201460 1432510 1709770 1862263 2222701 2865020 3419540 3724526 4445402 5300287 7449052 8890804 9311315 10600574 11113505 18622630 21201148 22227010 26501435 37245260 44454020 53002870 68903731 106005740 137807462 275614924 344518655 689037310 1378074620