Search a number
-
+
130507440 = 24357131593
BaseRepresentation
bin1111100011101…
…10001010110000
3100002120110112220
413301312022300
5231402214230
620541121040
73143203110
oct761661260
9302513486
10130507440
1167739198
1237859180
132106574b
1413493040
15b6cdd10
hex7c762b0

130507440 has 160 divisors (see below), whose sum is σ = 466684416. Its totient is φ = 29552640.

The previous prime is 130507439. The next prime is 130507441. The reversal of 130507440 is 44705031.

It is an interprime number because it is at equal distance from previous prime (130507439) and next prime (130507441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130507440.

It is not an unprimeable number, because it can be changed into a prime (130507441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219784 + ... + 220376.

Almost surely, 2130507440 is an apocalyptic number.

130507440 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 130507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

130507440 is an abundant number, since it is smaller than the sum of its proper divisors (336176976).

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

130507440 is a wasteful number, since it uses less digits than its factorization.

130507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 130507440 is about 11423.9852941082. The cubic root of 130507440 is about 507.2379712970.

The spelling of 130507440 in words is "one hundred thirty million, five hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 131 140 168 210 240 262 280 336 393 420 524 560 593 655 786 840 917 1048 1186 1310 1572 1680 1779 1834 1965 2096 2372 2620 2751 2965 3144 3558 3668 3930 4151 4585 4744 5240 5502 5930 6288 7116 7336 7860 8302 8895 9170 9488 10480 11004 11860 12453 13755 14232 14672 15720 16604 17790 18340 20755 22008 23720 24906 27510 28464 31440 33208 35580 36680 41510 44016 47440 49812 55020 62265 66416 71160 73360 77683 83020 99624 110040 124530 142320 155366 166040 199248 220080 233049 249060 310732 332080 388415 466098 498120 543781 621464 776830 932196 996240 1087562 1165245 1242928 1553660 1631343 1864392 2175124 2330490 2718905 3107320 3262686 3728784 4350248 4660980 5437810 6214640 6525372 8156715 8700496 9321960 10875620 13050744 16313430 18643920 21751240 26101488 32626860 43502480 65253720 130507440