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5403978760 = 235374189057
BaseRepresentation
bin1010000100001101…
…00010110000001000
3111221121112120020111
411002012202300020
542031404310020
62252122004104
7250626030055
oct50206426010
914847476214
105403978760
112323450254
121069946634
1368176418b
143939c002c
15219653d5a
hex1421a2c08

5403978760 has 64 divisors (see below), whose sum is σ = 12792291120. Its totient is φ = 2051850240.

The previous prime is 5403978703. The next prime is 5403978761. The reversal of 5403978760 is 678793045.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 906130404 + 4497848356 = 30102^2 + 67066^2 .

It is a super-2 number, since 2×54039787602 = 58405972877062275200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5403978761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16152 + ... + 105208.

Almost surely, 25403978760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5403978760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396145560).

5403978760 is an abundant number, since it is smaller than the sum of its proper divisors (7388312360).

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

5403978760 is a wasteful number, since it uses less digits than its factorization.

5403978760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89146 (or 89142 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 5403978760 is about 73511.7593314158. The cubic root of 5403978760 is about 1754.8414247297.

The spelling of 5403978760 in words is "five billion, four hundred three million, nine hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 410 740 820 1480 1517 1640 3034 6068 7585 12136 15170 30340 60680 89057 178114 356228 445285 712456 890570 1781140 3295109 3562280 3651337 6590218 7302674 13180436 14605348 16475545 18256685 26360872 29210696 32951090 36513370 65902180 73026740 131804360 135099469 146053480 270198938 540397876 675497345 1080795752 1350994690 2701989380 5403978760