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20491900 = 225211131433
BaseRepresentation
bin100111000101…
…0111001111100
31102120002121021
41032022321330
520221220100
62011113524
7336115102
oct116127174
942502537
1020491900
1110626960
126a428a4
1343262b0
142a15c72
151beba1a
hex138ae7c

20491900 has 72 divisors (see below), whose sum is σ = 52277904. Its totient is φ = 6873600.

The previous prime is 20491897. The next prime is 20491901. The reversal of 20491900 is 919402.

It is a super-2 number, since 2×204919002 = 839835931220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20491901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13584 + ... + 15016.

It is an arithmetic number, because the mean of its divisors is an integer number (726082).

Almost surely, 220491900 is an apocalyptic number.

20491900 is a gapful number since it is divisible by the number (20) 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 20491900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26138952).

20491900 is an abundant number, since it is smaller than the sum of its proper divisors (31786004).

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

20491900 is a wasteful number, since it uses less digits than its factorization.

20491900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 20491900 is about 4526.7979853314. The cubic root of 20491900 is about 273.6491326500.

The spelling of 20491900 in words is "twenty million, four hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 1433 2860 2866 3575 5732 7150 7165 14300 14330 15763 18629 28660 31526 35825 37258 63052 71650 74516 78815 93145 143300 157630 186290 204919 315260 372580 394075 409838 465725 788150 819676 931450 1024595 1576300 1862900 2049190 4098380 5122975 10245950 20491900