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19975700 = 2252533769
BaseRepresentation
bin100110000110…
…0111000010100
31101120212111202
41030030320110
520103210300
61552052032
7331535123
oct114147024
941525452
1019975700
1110304048
126834018
1341a5354
14291daba
151b48ad5
hex130ce14

19975700 has 36 divisors (see below), whose sum is σ = 44176860. Its totient is φ = 7837440.

The previous prime is 19975699. The next prime is 19975721. The reversal of 19975700 is 757991.

It can be written as a sum of positive squares in 6 ways, for example, as 456976 + 19518724 = 676^2 + 4418^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3416 + ... + 7184.

It is an arithmetic number, because the mean of its divisors is an integer number (1227135).

Almost surely, 219975700 is an apocalyptic number.

19975700 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 19975700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088430).

19975700 is an abundant number, since it is smaller than the sum of its proper divisors (24201160).

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

19975700 is a wasteful number, since it uses less digits than its factorization.

19975700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 19975700 is about 4469.4183066703. The cubic root of 19975700 is about 271.3317831927.

The spelling of 19975700 in words is "nineteen million, nine hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 3769 5300 7538 15076 18845 37690 75380 94225 188450 199757 376900 399514 799028 998785 1997570 3995140 4993925 9987850 19975700