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6130227528 = 233338374101
BaseRepresentation
bin1011011010110001…
…11101100101001000
3120211020002211021000
411231120331211020
5100023314240103
62452144015000
7304625034315
oct55530754510
916736084230
106130227528
112666398747
121231001460
13769063c89
1442222bd0c
1525d2adaa3
hex16d63d948

6130227528 has 64 divisors (see below), whose sum is σ = 17073100800. Its totient is φ = 2038046400.

The previous prime is 6130227517. The next prime is 6130227539. The reversal of 6130227528 is 8257220316.

6130227528 is a `hidden beast` number, since 61 + 302 + 275 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6130227517) and next prime (6130227539).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6130227492 and 6130227501.

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 15 ways as a sum of consecutive naturals, for example, 45678 + ... + 119778.

It is an arithmetic number, because the mean of its divisors is an integer number (266767200).

Almost surely, 26130227528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130227528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536550400).

6130227528 is an abundant number, since it is smaller than the sum of its proper divisors (10942873272).

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

6130227528 is a wasteful number, since it uses less digits than its factorization.

6130227528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74499 (or 74489 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6130227528 is about 78295.7695408890. The cubic root of 6130227528 is about 1830.1732273535.

The spelling of 6130227528 in words is "six billion, one hundred thirty million, two hundred twenty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 383 766 1149 1532 2298 3064 3447 4596 6894 9192 10341 13788 20682 27576 41364 74101 82728 148202 222303 296404 444606 592808 666909 889212 1333818 1778424 2000727 2667636 4001454 5335272 8002908 16005816 28380683 56761366 85142049 113522732 170284098 227045464 255426147 340568196 510852294 681136392 766278441 1021704588 1532556882 2043409176 3065113764 6130227528