Search a number
-
+
15214968 = 2332211319
BaseRepresentation
bin111010000010…
…100101111000
31001122000000100
4322002211320
512343334333
61302035400
7243216336
oct72024570
931560010
1015214968
11865225a
125118b60
1331c9452
142040b56
151508213
hexe82978

15214968 has 24 divisors (see below), whose sum is σ = 41207400. Its totient is φ = 5071632.

The previous prime is 15214967. The next prime is 15214987. The reversal of 15214968 is 86941251.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15214967) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 105588 + ... + 105731.

It is an arithmetic number, because the mean of its divisors is an integer number (1716975).

Almost surely, 215214968 is an apocalyptic number.

15214968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15214968 is an abundant number, since it is smaller than the sum of its proper divisors (25992432).

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

15214968 is a wasteful number, since it uses less digits than its factorization.

15214968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211331 (or 211324 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 15214968 is about 3900.6368710763. The cubic root of 15214968 is about 247.7937497813.

It can be divided in two parts, 1521 and 4968, that multiplied together give a triangular number (7556328 = T3887).

The spelling of 15214968 in words is "fifteen million, two hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 211319 422638 633957 845276 1267914 1690552 1901871 2535828 3803742 5071656 7607484 15214968