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1354255420 = 225741713323
BaseRepresentation
bin101000010111000…
…0100110000111100
310111101021022012011
41100232010300330
510233142133140
6342214221004
745362660350
oct12056046074
93441238164
101354255420
11635495161
12319654764
1318775328b
14cbc05460
157dd5acea
hex50b84c3c

1354255420 has 96 divisors (see below), whose sum is σ = 3377396736. Its totient is φ = 446476800.

The previous prime is 1354255403. The next prime is 1354255423. The reversal of 1354255420 is 245524531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354255423) 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 31 ways as a sum of consecutive naturals, for example, 405879 + ... + 409201.

It is an arithmetic number, because the mean of its divisors is an integer number (35181216).

Almost surely, 21354255420 is an apocalyptic number.

1354255420 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 1354255420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688698368).

1354255420 is an abundant number, since it is smaller than the sum of its proper divisors (2023141316).

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

1354255420 is a wasteful number, since it uses less digits than its factorization.

1354255420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 1354255420 is about 36800.2095102732. The cubic root of 1354255420 is about 1106.3694983215.

Adding to 1354255420 its reverse (245524531), we get a palindrome (1599779951).

The spelling of 1354255420 in words is "one billion, three hundred fifty-four million, two hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 71 82 140 142 164 205 284 287 355 410 497 574 710 820 994 1148 1420 1435 1988 2485 2870 2911 3323 4970 5740 5822 6646 9940 11644 13292 14555 16615 20377 23261 29110 33230 40754 46522 58220 66460 81508 93044 101885 116305 136243 203770 232610 235933 272486 407540 465220 471866 544972 681215 943732 953701 1179665 1362430 1651531 1907402 2359330 2724860 3303062 3814804 4718660 4768505 6606124 8257655 9537010 9673253 16515310 19074020 19346506 33030620 38693012 48366265 67712771 96732530 135425542 193465060 270851084 338563855 677127710 1354255420