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1377257420 = 2257117312251
BaseRepresentation
bin101001000010111…
…0100011111001100
310112222112221000002
41102011310133030
510310034214140
6344355223432
746062331520
oct12205643714
93488487002
101377257420
11647475980
123252a7b78
1318c447c26
14d0cb1d80
1580da1415
hex521747cc

1377257420 has 96 divisors (see below), whose sum is σ = 3655604736. Its totient is φ = 423360000.

The previous prime is 1377257419. The next prime is 1377257423. The reversal of 1377257420 is 247527731.

It is not an unprimeable number, because it can be changed into a prime (1377257423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106295 + ... + 118545.

It is an arithmetic number, because the mean of its divisors is an integer number (38079216).

Almost surely, 21377257420 is an apocalyptic number.

1377257420 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 1377257420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827802368).

1377257420 is an abundant number, since it is smaller than the sum of its proper divisors (2278347316).

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

1377257420 is a wasteful number, since it uses less digits than its factorization.

1377257420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 1377257420 is about 37111.4189973922. The cubic root of 1377257420 is about 1112.5982528213.

The spelling of 1377257420 in words is "one billion, three hundred seventy-seven million, two hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 11242 12251 16060 22484 24502 28105 49004 56210 61255 85757 112420 122510 134761 171514 245020 269522 343028 428785 539044 673805 857570 894323 943327 1347610 1715140 1788646 1886654 2695220 3577292 3773308 4471615 4716635 6260261 8943230 9433270 9837553 12520522 17886460 18866540 19675106 25041044 31301305 39350212 49187765 62602610 68862871 98375530 125205220 137725742 196751060 275451484 344314355 688628710 1377257420