Search a number
-
+
1441474560 = 21132515641
BaseRepresentation
bin101010111101011…
…0010100000000000
310201110101111100200
41111322302200000
510423004141220
6355011445200
750502221511
oct12572624000
93643344320
101441474560
1167a747199
123428b6800
1319c840536
14d962aa08
1586838890
hex55eb2800

1441474560 has 144 divisors (see below), whose sum is σ = 4996211220. Its totient is φ = 384368640.

The previous prime is 1441474547. The next prime is 1441474583. The reversal of 1441474560 is 654741441.

It is a happy number.

1441474560 is a `hidden beast` number, since 14 + 4 + 14 + 74 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1323795456 + 117679104 = 36384^2 + 10848^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84340 + ... + 99980.

Almost surely, 21441474560 is an apocalyptic number.

1441474560 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 1441474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498105610).

1441474560 is an abundant number, since it is smaller than the sum of its proper divisors (3554736660).

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

1441474560 is a wasteful number, since it uses less digits than its factorization.

1441474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15674 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1441474560 is about 37966.7559846769. The cubic root of 1441474560 is about 1129.6285515231.

The spelling of 1441474560 in words is "one billion, four hundred forty-one million, four hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 15641 18432 23040 30720 31282 46080 46923 62564 78205 92160 93846 125128 140769 156410 187692 234615 250256 281538 312820 375384 469230 500512 563076 625640 703845 750768 938460 1001024 1126152 1251280 1407690 1501536 1876920 2002048 2252304 2502560 2815380 3003072 3753840 4004096 4504608 5005120 5630760 6006144 7507680 8008192 9009216 10010240 11261520 12012288 15015360 16016384 18018432 20020480 22523040 24024576 30030720 32032768 36036864 40040960 45046080 48049152 60061440 72073728 80081920 90092160 96098304 120122880 144147456 160163840 180184320 240245760 288294912 360368640 480491520 720737280 1441474560