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1942083100 = 2252194012549
BaseRepresentation
bin111001111000001…
…1101011000011100
312000100101001011201
41303300131120130
512434133124400
6520413325244
766061301566
oct16360353034
95010331151
101942083100
11907289861
12462496824
1324c4795c9
14145d00336
15b577206a
hex73c1d61c

1942083100 has 72 divisors (see below), whose sum is σ = 4448934000. Its totient is φ = 733824000.

The previous prime is 1942083097. The next prime is 1942083127. The reversal of 1942083100 is 13802491.

It is a happy number.

It is a super-2 number, since 2×19420831002 = 7543373534611220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760626 + ... + 763174.

It is an arithmetic number, because the mean of its divisors is an integer number (61790750).

Almost surely, 21942083100 is an apocalyptic number.

1942083100 is a gapful number since it is divisible by the number (10) 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 1942083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224467000).

1942083100 is an abundant number, since it is smaller than the sum of its proper divisors (2506850900).

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

1942083100 is a wasteful number, since it uses less digits than its factorization.

1942083100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1942083100 is about 44069.0719212465. The cubic root of 1942083100 is about 1247.6399415703.

Adding to 1942083100 its reverse (13802491), we get a palindrome (1955885591).

The spelling of 1942083100 in words is "one billion, nine hundred forty-two million, eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 401 475 802 950 1604 1900 2005 2549 4010 5098 7619 8020 10025 10196 12745 15238 20050 25490 30476 38095 40100 48431 50980 63725 76190 96862 127450 152380 190475 193724 242155 254900 380950 484310 761900 968620 1022149 1210775 2044298 2421550 4088596 4843100 5110745 10221490 19420831 20442980 25553725 38841662 51107450 77683324 97104155 102214900 194208310 388416620 485520775 971041550 1942083100