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130279320 = 23335711699
BaseRepresentation
bin1111100001111…
…10011110011000
3100002010212122000
413300332132120
5231322414240
620532201000
73141233043
oct760763630
9302125560
10130279320
11675a2866
1237769160
1320cb5972
1413433c5a
15b686430
hex7c3e798

130279320 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 34231680.

The previous prime is 130279309. The next prime is 130279349. The reversal of 130279320 is 23972031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75831 + ... + 77529.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2130279320 is an apocalyptic number.

130279320 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 130279320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

130279320 is an abundant number, since it is smaller than the sum of its proper divisors (310360680).

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

130279320 is a wasteful number, since it uses less digits than its factorization.

130279320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 130279320 is about 11413.9966707547. The cubic root of 130279320 is about 506.9422573502.

The spelling of 130279320 in words is "one hundred thirty million, two hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1699 1704 1917 2130 2556 2840 3195 3398 3834 4260 5097 5112 6390 6796 7668 8495 8520 9585 10194 12780 13592 15291 15336 16990 19170 20388 25485 25560 30582 33980 38340 40776 45873 50970 61164 67960 76455 76680 91746 101940 120629 122328 152910 183492 203880 229365 241258 305820 361887 366984 458730 482516 603145 611640 723774 917460 965032 1085661 1206290 1447548 1809435 1834920 2171322 2412580 2895096 3256983 3618870 4342644 4825160 5428305 6513966 7237740 8685288 10856610 13027932 14475480 16284915 21713220 26055864 32569830 43426440 65139660 130279320