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30758000520 = 23351357734171
BaseRepresentation
bin11100101001010100…
…011101011110001000
32221101120121022121110
4130221110131132020
51000443022004040
622044030410320
72136132455622
oct345124353610
987346538543
1030758000520
11120540a9045
125b649609a0
132b92431310
1416bad9dc12
15c00456980
hex72951d788

30758000520 has 128 divisors (see below), whose sum is σ = 99547136640. Its totient is φ = 7557857280.

The previous prime is 30758000509. The next prime is 30758000551. The reversal of 30758000520 is 2500085703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883035 + ... + 917205.

It is an arithmetic number, because the mean of its divisors is an integer number (777712005).

Almost surely, 230758000520 is an apocalyptic number.

30758000520 is a gapful number since it is divisible by the number (30) 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 30758000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49773568320).

30758000520 is an abundant number, since it is smaller than the sum of its proper divisors (68789136120).

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

30758000520 is a wasteful number, since it uses less digits than its factorization.

30758000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34775 (or 34771 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 30758000520 in words is "thirty billion, seven hundred fifty-eight million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 577 780 1154 1560 1731 2308 2885 3462 4616 5770 6924 7501 8655 11540 13848 15002 17310 22503 23080 30004 34171 34620 37505 45006 60008 68342 69240 75010 90012 102513 112515 136684 150020 170855 180024 205026 225030 273368 300040 341710 410052 444223 450060 512565 683420 820104 888446 900120 1025130 1332669 1366840 1776892 2050260 2221115 2665338 3553784 4100520 4442230 5330676 6663345 8884460 10661352 13326690 17768920 19716667 26653380 39433334 53306760 59150001 78866668 98583335 118300002 157733336 197166670 236600004 256316671 295750005 394333340 473200008 512633342 591500010 768950013 788666680 1025266684 1183000020 1281583355 1537900026 2050533368 2366000040 2563166710 3075800052 3844750065 5126333420 6151600104 7689500130 10252666840 15379000260 30758000520