Search a number
-
+
1357111640 = 235532772311
BaseRepresentation
bin101000011100011…
…1110000101011000
310111120122102012002
41100320332011120
510234410033030
6342355340132
745426154463
oct12070760530
93446572162
101357111640
11637066075
1231a5b1648
13188213351
14cc34a2da
157e222245
hex50e3e158

1357111640 has 64 divisors (see below), whose sum is σ = 3123696960. Its totient is φ = 530449920.

The previous prime is 1357111601. The next prime is 1357111673. The reversal of 1357111640 is 461117531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586085 + ... + 588395.

It is an arithmetic number, because the mean of its divisors is an integer number (48807765).

Almost surely, 21357111640 is an apocalyptic number.

1357111640 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 1357111640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561848480).

1357111640 is an abundant number, since it is smaller than the sum of its proper divisors (1766585320).

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

1357111640 is a wasteful number, since it uses less digits than its factorization.

1357111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1357111640 is about 36838.9961861069. The cubic root of 1357111640 is about 1107.1467558616.

The spelling of 1357111640 in words is "one billion, three hundred fifty-seven million, one hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 1060 1108 1385 2120 2216 2311 2770 4622 5540 9244 11080 11555 14681 18488 23110 29362 46220 58724 73405 92440 117448 122483 146810 244966 293620 489932 587240 612415 640147 979864 1224830 1280294 2449660 2560588 3200735 4899320 5121176 6401470 12802940 25605880 33927791 67855582 135711164 169638955 271422328 339277910 678555820 1357111640