[go: up one dir, main page]

Search a number
-
+
12641420 = 22511371553
BaseRepresentation
bin110000001110…
…010010001100
3212210020202202
4300032102030
511214011140
61130541032
7212310311
oct60162214
925706682
1012641420
117154760
124297778
132807c3c
141970d08
15119a915
hexc0e48c

12641420 has 48 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 4469760.

The previous prime is 12641411. The next prime is 12641429. The reversal of 12641420 is 2414621.

12641420 = T223 + T224 + ... + T442.

It is an interprime number because it is at equal distance from previous prime (12641411) and next prime (12641429).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12641392 and 12641401.

It is not an unprimeable number, because it can be changed into a prime (12641429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7364 + ... + 8916.

It is an arithmetic number, because the mean of its divisors is an integer number (620046).

Almost surely, 212641420 is an apocalyptic number.

12641420 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 12641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

12641420 is an abundant number, since it is smaller than the sum of its proper divisors (17120788).

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

12641420 is a wasteful number, since it uses less digits than its factorization.

12641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12641420 is about 3555.4774644202. The cubic root of 12641420 is about 232.9513796393.

The spelling of 12641420 in words is "twelve million, six hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1553 1628 2035 3106 4070 6212 7765 8140 15530 17083 31060 34166 57461 68332 85415 114922 170830 229844 287305 341660 574610 632071 1149220 1264142 2528284 3160355 6320710 12641420