Search a number
-
+
961301712 = 24379912887
BaseRepresentation
bin111001010011000…
…100110011010000
32110222212012001010
4321103010303100
53432043123322
6235220010520
732551633620
oct7123046320
92428765033
10961301712
114536a2228
12229b30a40
1312420aca7
1491956880
15595da20c
hex394c4cd0

961301712 has 80 divisors (see below), whose sum is σ = 2841976832. Its totient is φ = 274285440.

The previous prime is 961301707. The next prime is 961301743. The reversal of 961301712 is 217103169.

It is a self number, because there is not a number n which added to its sum of digits gives 961301712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331533 + ... + 334419.

Almost surely, 2961301712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961301712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420988416).

961301712 is an abundant number, since it is smaller than the sum of its proper divisors (1880675120).

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

961301712 is a wasteful number, since it uses less digits than its factorization.

961301712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 961301712 is about 31004.8659406874. The cubic root of 961301712 is about 986.9305030576.

The spelling of 961301712 in words is "nine hundred sixty-one million, three hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 991 1982 2887 2973 3964 5774 5946 6937 7928 8661 11548 11892 13874 15856 17322 20209 20811 23096 23784 27748 34644 40418 41622 46192 47568 55496 60627 69288 80836 83244 110992 121254 138576 161672 166488 242508 323344 332976 485016 970032 2861017 5722034 8583051 11444068 17166102 20027119 22888136 34332204 40054238 45776272 60081357 68664408 80108476 120162714 137328816 160216952 240325428 320433904 480650856 961301712