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4130028760 = 2351113255541
BaseRepresentation
bin1111011000101011…
…0011110011011000
3101122211101012101011
43312022303303120
531424241410020
61521452503304
7204226444114
oct36612636330
911584335334
104130028760
11182a325810
1297317ab34
1350a84a300
142b2720744
151928ac35a
hexf62b3cd8

4130028760 has 96 divisors (see below), whose sum is σ = 10977320880. Its totient is φ = 1386278400.

The previous prime is 4130028757. The next prime is 4130028821. The reversal of 4130028760 is 678200314.

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, 46590 + ... + 102130.

Almost surely, 24130028760 is an apocalyptic number.

4130028760 is a gapful number since it is divisible by the number (40) 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 4130028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488660440).

4130028760 is an abundant number, since it is smaller than the sum of its proper divisors (6847292120).

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

4130028760 is a wasteful number, since it uses less digits than its factorization.

4130028760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55589 (or 55572 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4130028760 is about 64265.2998125738. The cubic root of 4130028760 is about 1604.4186142968.

The spelling of 4130028760 in words is "four billion, one hundred thirty million, twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2860 3380 3718 5720 6760 7436 9295 14872 18590 37180 55541 74360 111082 222164 277705 444328 555410 610951 722033 1110820 1221902 1444066 2221640 2443804 2888132 3054755 3610165 4887608 5776264 6109510 7220330 7942363 9386429 12219020 14440660 15884726 18772858 24438040 28881320 31769452 37545716 39711815 46932145 63538904 75091432 79423630 93864290 103250719 158847260 187728580 206501438 317694520 375457160 413002876 516253595 826005752 1032507190 2065014380 4130028760