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1934506000 = 24537138179
BaseRepresentation
bin111001101001110…
…0011100000010000
311222211010002100101
41303103203200100
512430213143000
6515543102144
765640013120
oct16323434020
94884102311
101934506000
11902a83a99
1245ba41954
1324aa2580b
14144ccac80
15b4c76e6a
hex734e3810

1934506000 has 80 divisors (see below), whose sum is σ = 5345907840. Its totient is φ = 663254400.

The previous prime is 1934505997. The next prime is 1934506001. The reversal of 1934506000 is 6054391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1934506000.

It is not an unprimeable number, because it can be changed into a prime (1934506001) by changing a digit.

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, 55090 + ... + 83089.

It is an arithmetic number, because the mean of its divisors is an integer number (66823848).

Almost surely, 21934506000 is an apocalyptic number.

1934506000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1934506000 is an abundant number, since it is smaller than the sum of its proper divisors (3411401840).

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

1934506000 is a wasteful number, since it uses less digits than its factorization.

1934506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138209 (or 138193 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1934506000 is about 43983.0194506926. The cubic root of 1934506000 is about 1246.0152576269.

The spelling of 1934506000 in words is "one billion, nine hundred thirty-four million, five hundred six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 138179 276358 552716 690895 967253 1105432 1381790 1934506 2210864 2763580 3454475 3869012 4836265 5527160 6908950 7738024 9672530 11054320 13817900 15476048 17272375 19345060 24181325 27635800 34544750 38690120 48362650 55271600 69089500 77380240 96725300 120906625 138179000 193450600 241813250 276358000 386901200 483626500 967253000 1934506000