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1357709540 = 2251124611217
BaseRepresentation
bin101000011101101…
…0000000011100100
310111121202210100112
41100323100003210
510240033201130
6342420232152
745434224565
oct12073200344
93447683315
101357709540
11637434300
1231a83b658
13188392535
14cc46416c
157e2de495
hex50ed00e4

1357709540 has 72 divisors (see below), whose sum is σ = 3143331576. Its totient is φ = 492236800.

The previous prime is 1357709531. The next prime is 1357709579. The reversal of 1357709540 is 459077531.

It can be written as a sum of positive squares in 4 ways, for example, as 28815424 + 1328894116 = 5368^2 + 36454^2 .

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, 1115012 + ... + 1116228.

It is an arithmetic number, because the mean of its divisors is an integer number (43657383).

Almost surely, 21357709540 is an apocalyptic number.

1357709540 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 1357709540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571665788).

1357709540 is an abundant number, since it is smaller than the sum of its proper divisors (1785622036).

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

1357709540 is a wasteful number, since it uses less digits than its factorization.

1357709540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 1357709540 is about 36847.1103344618. The cubic root of 1357709540 is about 1107.3093231445.

The spelling of 1357709540 in words is "one billion, three hundred fifty-seven million, seven hundred nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 461 484 605 922 1210 1217 1844 2305 2420 2434 4610 4868 5071 6085 9220 10142 12170 13387 20284 24340 25355 26774 50710 53548 55781 66935 101420 111562 133870 147257 223124 267740 278905 294514 557810 561037 589028 736285 1115620 1122074 1472570 2244148 2805185 2945140 5610370 6171407 11220740 12342814 24685628 30857035 61714070 67885477 123428140 135770954 271541908 339427385 678854770 1357709540