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19142500 = 2254131931
BaseRepresentation
bin100100100000…
…1011101100100
31100000112120111
41021001131210
514400030000
61522142404
7321465016
oct111013544
940015514
1019142500
11a895053
1264b1a04
133c73030
1427841b6
151a31cba
hex1241764

19142500 has 120 divisors (see below), whose sum is σ = 48984320. Its totient is φ = 6480000.

The previous prime is 19142483. The next prime is 19142507. The reversal of 19142500 is 524191.

It is not an unprimeable number, because it can be changed into a prime (19142507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 617485 + ... + 617515.

Almost surely, 219142500 is an apocalyptic number.

19142500 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 19142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24492160).

19142500 is an abundant number, since it is smaller than the sum of its proper divisors (29841820).

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

19142500 is a wasteful number, since it uses less digits than its factorization.

19142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 19142500 is about 4375.2142804667. The cubic root of 19142500 is about 267.5056044478.

Adding to 19142500 its reverse (524191), we get a palindrome (19666691).

The spelling of 19142500 in words is "nineteen million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 31 38 50 52 62 65 76 95 100 124 125 130 155 190 247 250 260 310 325 380 403 475 494 500 589 620 625 650 775 806 950 988 1178 1235 1250 1300 1550 1612 1625 1900 2015 2356 2375 2470 2500 2945 3100 3250 3875 4030 4750 4940 5890 6175 6500 7657 7750 8060 8125 9500 10075 11780 11875 12350 14725 15314 15500 16250 19375 20150 23750 24700 29450 30628 30875 32500 38285 38750 40300 47500 50375 58900 61750 73625 76570 77500 100750 123500 147250 153140 154375 191425 201500 251875 294500 308750 368125 382850 503750 617500 736250 765700 957125 1007500 1472500 1914250 3828500 4785625 9571250 19142500