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30827970 = 23251720149
BaseRepresentation
bin111010110011…
…0010111000010
32011000020000200
41311212113002
530342443340
63020430030
7523014315
oct165462702
964006020
1030827970
1116446568
12a3a8316
136504b04
14414697c
152a8e330
hex1d665c2

30827970 has 48 divisors (see below), whose sum is σ = 84871800. Its totient is φ = 7736832.

The previous prime is 30827963. The next prime is 30827971. The reversal of 30827970 is 7972803.

It can be written as a sum of positive squares in 4 ways, for example, as 27468081 + 3359889 = 5241^2 + 1833^2 .

It is not an unprimeable number, because it can be changed into a prime (30827971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8545 + ... + 11604.

Almost surely, 230827970 is an apocalyptic number.

30827970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30827970 is an abundant number, since it is smaller than the sum of its proper divisors (54043830).

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

30827970 is a wasteful number, since it uses less digits than its factorization.

30827970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20176 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 30827970 is about 5552.2941204515. The cubic root of 30827970 is about 313.5558991613. Note that the first 3 decimals are identical.

The spelling of 30827970 in words is "thirty million, eight hundred twenty-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 20149 40298 60447 100745 120894 181341 201490 302235 342533 362682 604470 685066 906705 1027599 1712665 1813410 2055198 3082797 3425330 5137995 6165594 10275990 15413985 30827970