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19143864 = 233431953
BaseRepresentation
bin100100100000…
…1110010111000
31100000121110000
41021001302320
514400100424
61522153000
7321502005
oct111016270
940017400
1019143864
11a896083
1264b2760
133c7383c
1427848ac
151a323c9
hex1241cb8

19143864 has 80 divisors (see below), whose sum is σ = 55408320. Its totient is φ = 6168960.

The previous prime is 19143851. The next prime is 19143893. The reversal of 19143864 is 46834191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19612 + ... + 20564.

It is an arithmetic number, because the mean of its divisors is an integer number (692604).

Almost surely, 219143864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19143864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27704160).

19143864 is an abundant number, since it is smaller than the sum of its proper divisors (36264456).

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

19143864 is a wasteful number, since it uses less digits than its factorization.

19143864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 19143864 is about 4375.3701557697. The cubic root of 19143864 is about 267.5119580062.

It can be divided in two parts, 1914 and 3864, that added together give a triangular number (5778 = T107).

The spelling of 19143864 in words is "nineteen million, one hundred forty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 953 1116 1674 1906 2232 2511 2859 3348 3812 5022 5718 6696 7624 8577 10044 11436 17154 20088 22872 25731 29543 34308 51462 59086 68616 77193 88629 102924 118172 154386 177258 205848 236344 265887 308772 354516 531774 617544 709032 797661 1063548 1595322 2127096 2392983 3190644 4785966 6381288 9571932 19143864