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3986145630 = 2325179247433
BaseRepresentation
bin1110110110010111…
…1100000101011110
3101021210122011211100
43231211330011132
531130423130010
61455312533530
7200531451555
oct35545740536
911253564740
103986145630
111766091235
12932b512a6
134b6ab066c
1429b588d9c
15184e3a2c0
hexed97c15e

3986145630 has 48 divisors (see below), whose sum is σ = 10421920080. Its totient is φ = 1057029504.

The previous prime is 3986145577. The next prime is 3986145659. The reversal of 3986145630 is 365416893.

3986145630 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 1 + 4 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107607 + ... + 139826.

It is an arithmetic number, because the mean of its divisors is an integer number (217123335).

Almost surely, 23986145630 is an apocalyptic number.

3986145630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3986145630 is an abundant number, since it is smaller than the sum of its proper divisors (6435774450).

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

3986145630 is a wasteful number, since it uses less digits than its factorization.

3986145630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247625 (or 247622 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3986145630 is about 63135.9297864536. The cubic root of 3986145630 is about 1585.5662285153.

It can be divided in two parts, 39861 and 45630, that added together give a triangular number (85491 = T413).

The spelling of 3986145630 in words is "three billion, nine hundred eighty-six million, one hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 16110 247433 494866 742299 1237165 1484598 2226897 2474330 3711495 4453794 7422990 11134485 22268970 44290507 88581014 132871521 221452535 265743042 398614563 442905070 664357605 797229126 1328715210 1993072815 3986145630