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130448310 = 235173137223
BaseRepresentation
bin1111100011001…
…11101110110110
3100002110110102220
413301213232312
5231343321220
620535543210
73142535526
oct761475666
9302413386
10130448310
11676a8823
123782ab06
1321044865
1413479686
15b6bb540
hex7c67bb6

130448310 has 128 divisors (see below), whose sum is σ = 353009664. Its totient is φ = 30689280.

The previous prime is 130448309. The next prime is 130448333. The reversal of 130448310 is 13844031.

It is a super-2 number, since 2×1304483102 = 34033523163712200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584859 + ... + 585081.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2130448310 is an apocalyptic number.

130448310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130448310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

130448310 is an abundant number, since it is smaller than the sum of its proper divisors (222561354).

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

130448310 is a wasteful number, since it uses less digits than its factorization.

130448310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130448310 is about 11421.3970248827. The cubic root of 130448310 is about 507.1613536674.

The spelling of 130448310 in words is "one hundred thirty million, four hundred forty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 37 51 62 74 85 93 102 111 155 170 185 186 222 223 255 310 370 446 465 510 527 555 629 669 930 1054 1110 1115 1147 1258 1338 1581 1887 2230 2294 2635 3145 3162 3345 3441 3774 3791 5270 5735 6290 6690 6882 6913 7582 7905 8251 9435 11373 11470 13826 15810 16502 17205 18870 18955 19499 20739 22746 24753 34410 34565 37910 38998 41255 41478 49506 56865 58497 69130 82510 97495 103695 113730 116994 117521 123765 140267 194990 207390 235042 247530 255781 280534 292485 352563 420801 511562 584970 587605 701335 705126 767343 841602 1175210 1278905 1402670 1534686 1762815 2104005 2557810 3525630 3836715 4208010 4348277 7673430 8696554 13044831 21741385 26089662 43482770 65224155 130448310