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671129820 = 223354130313
BaseRepresentation
bin101000000000001…
…010000011011100
31201202211221001000
4220000022003130
52333302123240
6150332350300
722426336464
oct5000120334
91652757030
10671129820
11314920849
12168915390
13a907174a
14651c0ba4
153ddbd430
hex2800a0dc

671129820 has 96 divisors (see below), whose sum is σ = 2138955840. Its totient is φ = 174597120.

The previous prime is 671129801. The next prime is 671129827. The reversal of 671129820 is 28921176.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671129827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6984 + ... + 37296.

It is an arithmetic number, because the mean of its divisors is an integer number (22280790).

Almost surely, 2671129820 is an apocalyptic number.

671129820 is a gapful number since it is divisible by the number (60) 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 671129820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069477920).

671129820 is an abundant number, since it is smaller than the sum of its proper divisors (1467826020).

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

671129820 is a wasteful number, since it uses less digits than its factorization.

671129820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30372 (or 30364 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 671129820 is about 25906.1733955442. The cubic root of 671129820 is about 875.5255922529.

The spelling of 671129820 in words is "six hundred seventy-one million, one hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 30313 60626 90939 121252 151565 181878 272817 303130 363756 454695 545634 606260 818451 909390 1091268 1242833 1364085 1636902 1818780 2485666 2728170 3273804 3728499 4092255 4971332 5456340 6214165 7456998 8184510 11185497 12428330 14913996 16369020 18642495 22370994 24856660 33556491 37284990 44741988 55927485 67112982 74569980 111854970 134225964 167782455 223709940 335564910 671129820