Search a number
-
+
16004201360 = 245731921901
BaseRepresentation
bin11101110011110110…
…01011101110010000
31112022100201122222112
432321323023232100
5230234033420420
611204025324452
71104412316120
oct167173135620
945270648875
1016004201360
116872a553a4
123127936728
1316808c7644
14abb746c80
1563a0758c5
hex3b9ecbb90

16004201360 has 80 divisors (see below), whose sum is σ = 43897285632. Its totient is φ = 5310144000.

The previous prime is 16004201357. The next prime is 16004201363. The reversal of 16004201360 is 6310240061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16004201357) and next prime (16004201363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×160042013602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16004201363) 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, 443591 + ... + 478310.

Almost surely, 216004201360 is an apocalyptic number.

16004201360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16004201360 is an abundant number, since it is smaller than the sum of its proper divisors (27893084272).

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

16004201360 is a wasteful number, since it uses less digits than its factorization.

16004201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921952 (or 921946 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 16004201360 in words is "sixteen billion, four million, two hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 921901 1843802 3687604 4609505 6453307 7375208 9219010 12906614 14750416 18438020 25813228 28578931 32266535 36876040 51626456 57157862 64533070 73752080 103252912 114315724 129066140 142894655 200052517 228631448 258132280 285789310 400105034 457262896 516264560 571578620 800210068 1000262585 1143157240 1600420136 2000525170 2286314480 3200840272 4001050340 8002100680 16004201360