Search a number
-
+
748130580 = 22345523883
BaseRepresentation
bin101100100101111…
…001000100010100
31221010201222020000
4230211321010110
53013010134310
6202123011300
724353001501
oct5445710424
91833658200
10748130580
1135433363a
1218a669b30
13bbcc1922
14715064a8
1545a2d4c0
hex2c979114

748130580 has 120 divisors (see below), whose sum is σ = 2354063712. Its totient is φ = 198894528.

The previous prime is 748130573. The next prime is 748130587. The reversal of 748130580 is 85031847.

748130580 is a `hidden beast` number, since 7 + 48 + 1 + 30 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (748130573) and next prime (748130587).

It is a super-3 number, since 3×7481305803 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748130587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 846819 + ... + 847701.

Almost surely, 2748130580 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 748130580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177031856).

748130580 is an abundant number, since it is smaller than the sum of its proper divisors (1605933132).

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

748130580 is a wasteful number, since it uses less digits than its factorization.

748130580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 748130580 is about 27351.9757970060. The cubic root of 748130580 is about 907.8047880004.

It can be divided in two parts, 748 and 130580, that added together give a triangular number (131328 = T512).

The spelling of 748130580 in words is "seven hundred forty-eight million, one hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 523 540 810 883 1046 1569 1620 1766 2092 2615 2649 3138 3532 4415 4707 5230 5298 6276 7845 7947 8830 9414 10460 10596 13245 14121 15690 15894 17660 18828 23535 23841 26490 28242 31380 31788 39735 42363 47070 47682 52980 56484 70605 71523 79470 84726 94140 95364 119205 141210 143046 158940 169452 211815 238410 282420 286092 357615 423630 461809 476820 715230 847260 923618 1385427 1430460 1847236 2309045 2770854 4156281 4618090 5541708 6927135 8312562 9236180 12468843 13854270 16625124 20781405 24937686 27708540 37406529 41562810 49875372 62344215 74813058 83125620 124688430 149626116 187032645 249376860 374065290 748130580