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20867340 = 22351331863
BaseRepresentation
bin100111110011…
…0100100001100
31110021011121110
41033212210030
520320223330
62023132020
7342240504
oct117464414
943234543
1020867340
1110862a3a
126ba4010
134428150
142ab2a04
151c72db0
hex13e690c

20867340 has 96 divisors (see below), whose sum is σ = 65028096. Its totient is φ = 4965120.

The previous prime is 20867333. The next prime is 20867369. The reversal of 20867340 is 4376802.

20867340 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20867298 and 20867307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23749 + ... + 24611.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 220867340 is an apocalyptic number.

20867340 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 20867340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048).

20867340 is an abundant number, since it is smaller than the sum of its proper divisors (44160756).

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

20867340 is a wasteful number, since it uses less digits than its factorization.

20867340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20867340 is about 4568.0783706062. The cubic root of 20867340 is about 275.3102394056.

The spelling of 20867340 in words is "twenty million, eight hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 863 930 1209 1612 1726 1860 2015 2418 2589 3452 4030 4315 4836 5178 6045 8060 8630 10356 11219 12090 12945 17260 22438 24180 25890 26753 33657 44876 51780 53506 56095 67314 80259 107012 112190 133765 134628 160518 168285 224380 267530 321036 336570 347789 401295 535060 673140 695578 802590 1043367 1391156 1605180 1738945 2086734 3477890 4173468 5216835 6955780 10433670 20867340