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1982860128 = 25332294977
BaseRepresentation
bin111011000110000…
…0000101101100000
312010012002201202000
41312030000231200
513030103011003
6524431324000
7100065014214
oct16614005540
95105081660
101982860128
11928300187
12474080600
13257a55a22
1414b4b6944
15b91291a3
hex76300b60

1982860128 has 48 divisors (see below), whose sum is σ = 5783344560. Its totient is φ = 660953088.

The previous prime is 1982860073. The next prime is 1982860133. The reversal of 1982860128 is 8210682891.

It is a happy number.

1982860128 is a `hidden beast` number, since 19 + 8 + 2 + 8 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146625 + ... + 1148352.

It is an arithmetic number, because the mean of its divisors is an integer number (120486345).

Almost surely, 21982860128 is an apocalyptic number.

1982860128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1982860128 is an abundant number, since it is smaller than the sum of its proper divisors (3800484432).

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

1982860128 is a wasteful number, since it uses less digits than its factorization.

1982860128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294996 (or 2294982 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1982860128 is about 44529.3176233367. The cubic root of 1982860128 is about 1256.3115715868.

The spelling of 1982860128 in words is "one billion, nine hundred eighty-two million, eight hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2294977 4589954 6884931 9179908 13769862 18359816 20654793 27539724 36719632 41309586 55079448 61964379 73439264 82619172 110158896 123928758 165238344 220317792 247857516 330476688 495715032 660953376 991430064 1982860128