Search a number
-
+
1920192700 = 2252313716741
BaseRepresentation
bin111001001110011…
…1101000010111100
311221211011220012011
41302130331002330
512413032131300
6514312221004
765404240306
oct16234750274
94854156164
101920192700
118a5998218
1245709a764
13247a838ca
14143042976
15b389aeba
hex7273d0bc

1920192700 has 72 divisors (see below), whose sum is σ = 4417745024. Its totient is φ = 723168000.

The previous prime is 1920192613. The next prime is 1920192727. The reversal of 1920192700 is 72910291.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106330 + ... + 123070.

Almost surely, 21920192700 is an apocalyptic number.

1920192700 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 1920192700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208872512).

1920192700 is an abundant number, since it is smaller than the sum of its proper divisors (2497552324).

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

1920192700 is a wasteful number, since it uses less digits than its factorization.

1920192700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16823 (or 16816 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 1920192700 is about 43820.0034230943. The cubic root of 1920192700 is about 1242.9345818033.

The spelling of 1920192700 in words is "one billion, nine hundred twenty million, one hundred ninety-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 148 155 185 310 370 620 740 775 925 1147 1550 1850 2294 3100 3700 4588 5735 11470 16741 22940 28675 33482 57350 66964 83705 114700 167410 334820 418525 518971 619417 837050 1037942 1238834 1674100 2075884 2477668 2594855 3097085 5189710 6194170 10379420 12388340 12974275 15485425 19201927 25948550 30970850 38403854 51897100 61941700 76807708 96009635 192019270 384038540 480048175 960096350 1920192700