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27950130 = 2335137963
BaseRepresentation
bin110101010011…
…1110000110010
31221121000101000
41222213300302
524123401010
62435022430
7456400155
oct152476062
957530330
1027950130
111486038a
12943aa16
135a37c50
1439d7c9c
1526c17c0
hex1aa7c32

27950130 has 64 divisors (see below), whose sum is σ = 80277120. Its totient is φ = 6879168.

The previous prime is 27950123. The next prime is 27950173. The reversal of 27950130 is 3105972.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27950094 and 27950103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 472 + ... + 7491.

It is an arithmetic number, because the mean of its divisors is an integer number (1254330).

Almost surely, 227950130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27950130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40138560).

27950130 is an abundant number, since it is smaller than the sum of its proper divisors (52326990).

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

27950130 is a wasteful number, since it uses less digits than its factorization.

27950130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 27950130 is about 5286.7882499680. The cubic root of 27950130 is about 303.4785106561.

The spelling of 27950130 in words is "twenty-seven million, nine hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 7963 15926 23889 39815 47778 71667 79630 103519 119445 143334 207038 215001 238890 310557 358335 430002 517595 621114 716670 931671 1035190 1075005 1552785 1863342 2150010 2795013 3105570 4658355 5590026 9316710 13975065 27950130