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1982353620 = 2235132541479
BaseRepresentation
bin111011000101000…
…0101000011010100
312010011010222221110
41312022011003110
513024440303440
6524412415020
7100060504422
oct16612050324
95104128843
101982353620
11927a94685
12473a77470
13257909310
1414b3c4112
15b9079080
hex762850d4

1982353620 has 48 divisors (see below), whose sum is σ = 5977560960. Its totient is φ = 487963776.

The previous prime is 1982353511. The next prime is 1982353687. The reversal of 1982353620 is 263532891.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 1269960 + ... + 1271519.

It is an arithmetic number, because the mean of its divisors is an integer number (124532520).

Almost surely, 21982353620 is an apocalyptic number.

1982353620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982353620 is an abundant number, since it is smaller than the sum of its proper divisors (3995207340).

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

1982353620 is a wasteful number, since it uses less digits than its factorization.

1982353620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541504 (or 2541502 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1982353620 is about 44523.6299059275. The cubic root of 1982353620 is about 1256.2045904232.

The spelling of 1982353620 in words is "one billion, nine hundred eighty-two million, three hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2541479 5082958 7624437 10165916 12707395 15248874 25414790 30497748 33039227 38122185 50829580 66078454 76244370 99117681 132156908 152488740 165196135 198235362 330392270 396470724 495588405 660784540 991176810 1982353620