[go: up one dir, main page]

Search a number
-
+
18948280 = 2351322803
BaseRepresentation
bin100100001001…
…0000010111000
31022122200011011
41020102002320
514322321110
61514043304
7320025541
oct110220270
938580134
1018948280
11a77213a
126419534
133c05800
1427334c8
1519e448a
hex12120b8

18948280 has 48 divisors (see below), whose sum is σ = 46181880. Its totient is φ = 6993792.

The previous prime is 18948277. The next prime is 18948283. The reversal of 18948280 is 8284981.

It is an interprime number because it is at equal distance from previous prime (18948277) and next prime (18948283).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18948283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5359 + ... + 8161.

Almost surely, 218948280 is an apocalyptic number.

18948280 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 18948280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23090940).

18948280 is an abundant number, since it is smaller than the sum of its proper divisors (27233600).

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

18948280 is a wasteful number, since it uses less digits than its factorization.

18948280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 18948280 is about 4352.9622098061. The cubic root of 18948280 is about 266.5978225061.

The spelling of 18948280 in words is "eighteen million, nine hundred forty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 2803 3380 5606 6760 11212 14015 22424 28030 36439 56060 72878 112120 145756 182195 291512 364390 473707 728780 947414 1457560 1894828 2368535 3789656 4737070 9474140 18948280