Search a number
-
+
1413693776 = 241141409479
BaseRepresentation
bin101010001000011…
…0100000101010000
310122112010002021202
41110100310011100
510343401200101
6352140210332
750014125125
oct12420640520
93575102252
101413693776
11665aa2070
123355399a8
13196b646c1
14d5a7874c
158419c36b
hex54434150

1413693776 has 80 divisors (see below), whose sum is σ = 3074803200. Its totient is φ = 624076800.

The previous prime is 1413693773. The next prime is 1413693793. The reversal of 1413693776 is 6773963141.

It is a super-2 number, since 2×14136937762 = 3997060184602276352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1413693776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413693773) 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, 2951105 + ... + 2951583.

It is an arithmetic number, because the mean of its divisors is an integer number (38435040).

Almost surely, 21413693776 is an apocalyptic number.

1413693776 is a gapful number since it is divisible by the number (16) 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 1413693776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537401600).

1413693776 is an abundant number, since it is smaller than the sum of its proper divisors (1661109424).

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

1413693776 is a wasteful number, since it uses less digits than its factorization.

1413693776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its digits is 571536, while the sum is 47.

The square root of 1413693776 is about 37599.1193513891. The cubic root of 1413693776 is about 1122.3245132187.

The spelling of 1413693776 in words is "one billion, four hundred thirteen million, six hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 409 451 479 656 818 902 958 1636 1804 1916 3272 3608 3832 4499 5269 6544 7216 7664 8998 10538 16769 17996 19639 21076 33538 35992 39278 42152 67076 71984 78556 84304 134152 157112 184459 195911 216029 268304 314224 368918 391822 432058 737836 783644 864116 1475672 1567288 1728232 2155021 2951344 3134576 3456464 4310042 8032351 8620084 16064702 17240168 32129404 34480336 64258808 88355861 128517616 176711722 353423444 706846888 1413693776