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130277520 = 24325237867
BaseRepresentation
bin1111100001111…
…10000010010000
3100002010210011100
413300332002100
5231322340040
620532144400
73141224562
oct760760220
9302123140
10130277520
11675a147a
1237768100
1320cb4bb9
1413433332
15b685b30
hex7c3e090

130277520 has 120 divisors (see below), whose sum is σ = 456595776. Its totient is φ = 33225984.

The previous prime is 130277513. The next prime is 130277527. The reversal of 130277520 is 25772031.

130277520 is a `hidden beast` number, since 130 + 2 + 7 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (130277513) and next prime (130277527).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1302775203 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130277527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12627 + ... + 20493.

Almost surely, 2130277520 is an apocalyptic number.

130277520 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 130277520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228297888).

130277520 is an abundant number, since it is smaller than the sum of its proper divisors (326318256).

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

130277520 is a wasteful number, since it uses less digits than its factorization.

130277520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 130277520 is about 11413.9178199249. The cubic root of 130277520 is about 506.9399226224.

The spelling of 130277520 in words is "one hundred thirty million, two hundred seventy-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 7867 8280 15734 16560 23601 31468 39335 47202 62936 70803 78670 94404 118005 125872 141606 157340 180941 188808 236010 283212 314680 354015 361882 377616 472020 542823 566424 629360 708030 723764 904705 944040 1085646 1132848 1416060 1447528 1628469 1809410 1888080 2171292 2714115 2832120 2895056 3256938 3618820 4342584 5428230 5664240 6513876 7237640 8142345 8685168 10856460 13027752 14475280 16284690 21712920 26055504 32569380 43425840 65138760 130277520