Search a number
-
+
1426617120 = 25352972119
BaseRepresentation
bin101010100001000…
…0111001100100000
310200102102122210010
41111002013030200
510410203221440
6353321204520
750232021405
oct12502071440
93612378703
101426617120
11672319615
12339930740
1319973aa56
14d76802ac
15853a1580
hex55087320

1426617120 has 48 divisors (see below), whose sum is σ = 4493845440. Its totient is φ = 380431104.

The previous prime is 1426617091. The next prime is 1426617191. The reversal of 1426617120 is 217166241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485580 + ... + 1486539.

It is an arithmetic number, because the mean of its divisors is an integer number (93621780).

Almost surely, 21426617120 is an apocalyptic number.

1426617120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1426617120 is an abundant number, since it is smaller than the sum of its proper divisors (3067228320).

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

1426617120 is a wasteful number, since it uses less digits than its factorization.

1426617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972137 (or 2972129 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1426617120 is about 37770.5853806901. The cubic root of 1426617120 is about 1125.7340710324.

The spelling of 1426617120 in words is "one billion, four hundred twenty-six million, six hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2972119 5944238 8916357 11888476 14860595 17832714 23776952 29721190 35665428 44581785 47553904 59442380 71330856 89163570 95107808 118884760 142661712 178327140 237769520 285323424 356654280 475539040 713308560 1426617120