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1357428280 = 2351321571279
BaseRepresentation
bin101000011101000…
…1011011000111000
310111121020111112111
41100322023120320
510240000201110
6342410222104
745431643565
oct12072133070
93447214474
101357428280
11637261a5a
1231a724934
131882c4500
14cc3cd86c
157e285e8a
hex50e8b638

1357428280 has 96 divisors (see below), whose sum is σ = 3330892800. Its totient is φ = 497622528.

The previous prime is 1357428277. The next prime is 1357428299. The reversal of 1357428280 is 828247531.

It is a happy number.

It is a super-2 number, since 2×13574282802 = 3685223070687516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060681 + ... + 1061959.

It is an arithmetic number, because the mean of its divisors is an integer number (34696800).

Almost surely, 21357428280 is an apocalyptic number.

1357428280 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 1357428280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665446400).

1357428280 is an abundant number, since it is smaller than the sum of its proper divisors (1973464520).

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

1357428280 is a wasteful number, since it uses less digits than its factorization.

1357428280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1357428280 is about 36843.2935552727. The cubic root of 1357428280 is about 1107.2328553092.

The spelling of 1357428280 in words is "one billion, three hundred fifty-seven million, four hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 169 260 314 338 520 628 676 785 845 1256 1279 1352 1570 1690 2041 2558 3140 3380 4082 5116 6280 6395 6760 8164 10205 10232 12790 16328 16627 20410 25580 26533 33254 40820 51160 53066 66508 81640 83135 106132 132665 133016 166270 200803 212264 216151 265330 332540 401606 432302 530660 665080 803212 864604 1004015 1061320 1080755 1606424 1729208 2008030 2161510 2610439 4016060 4323020 5220878 8032120 8646040 10441756 13052195 20883512 26104390 33935707 52208780 67871414 104417560 135742828 169678535 271485656 339357070 678714140 1357428280