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5374935700 = 2252612773181
BaseRepresentation
bin1010000000101111…
…10000001010010100
3111212120220000122121
411000113300022110
542001440420300
62245203305324
7250124125321
oct50027601224
914776800577
105374935700
112309013822
12106007b244
13678735934
1438dbbdb48
15216d1881a
hex1405f0294

5374935700 has 72 divisors (see below), whose sum is σ = 11901354584. Its totient is φ = 2106432000.

The previous prime is 5374935697. The next prime is 5374935749. The reversal of 5374935700 is 75394735.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4901960196 + 472975504 = 70014^2 + 21748^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 1688110 + ... + 1691290.

Almost surely, 25374935700 is an apocalyptic number.

5374935700 is a gapful number since it is divisible by the number (50) 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 5374935700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950677292).

5374935700 is an abundant number, since it is smaller than the sum of its proper divisors (6526418884).

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

5374935700 is a wasteful number, since it uses less digits than its factorization.

5374935700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 43.

The square root of 5374935700 is about 73313.9529694041. The cubic root of 5374935700 is about 1751.6920450959.

The spelling of 5374935700 in words is "five billion, three hundred seventy-four million, nine hundred thirty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 277 305 554 610 1108 1220 1385 1525 2770 3050 3181 5540 6100 6362 6925 12724 13850 15905 16897 27700 31810 33794 63620 67588 79525 84485 159050 168970 194041 318100 337940 388082 422425 776164 844850 881137 970205 1689700 1762274 1940410 3524548 3880820 4405685 4851025 8811370 9702050 17622740 19404100 22028425 44056850 53749357 88113700 107498714 214997428 268746785 537493570 1074987140 1343733925 2687467850 5374935700