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8130960 = 2432523491
BaseRepresentation
bin11111000001000110010000
3120022002120200
4133001012100
54040142320
6450135200
7126053265
oct37010620
916262520
108130960
114653a02
122881500
1318b8c26
14111926c
15aa9290
hex7c1190

8130960 has 120 divisors (see below), whose sum is σ = 28551744. Its totient is φ = 2069760.

The previous prime is 8130949. The next prime is 8130973. The reversal of 8130960 is 690318.

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

It is a super-2 number, since 2×81309602 = 132225021043200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16315 + ... + 16805.

Almost surely, 28130960 is an apocalyptic number.

8130960 is a gapful number since it is divisible by the number (80) 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 8130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275872).

8130960 is an abundant number, since it is smaller than the sum of its proper divisors (20420784).

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

8130960 is a wasteful number, since it uses less digits than its factorization.

8130960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8130960 is about 2851.4838242571. The cubic root of 8130960 is about 201.0854318649.

The spelling of 8130960 in words is "eight million, one hundred thirty thousand, nine hundred sixty".

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 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 491 552 690 720 828 920 982 1035 1104 1380 1473 1656 1840 1964 2070 2455 2760 2946 3312 3928 4140 4419 4910 5520 5892 7365 7856 8280 8838 9820 11293 11784 14730 16560 17676 19640 22095 22586 23568 29460 33879 35352 39280 44190 45172 56465 58920 67758 70704 88380 90344 101637 112930 117840 135516 169395 176760 180688 203274 225860 271032 338790 353520 406548 451720 508185 542064 677580 813096 903440 1016370 1355160 1626192 2032740 2710320 4065480 8130960