Search a number
-
+
992931120 = 243251379071
BaseRepresentation
bin111011001011101…
…110110100110000
32120012101010102200
4323023232310300
54013142243440
6242305543200
733414526626
oct7313566460
92505333380
10992931120
1146a535935
12238644b00
1312a93380c
1495c2b516
155c286c30
hex3b2eed30

992931120 has 60 divisors (see below), whose sum is σ = 3334596096. Its totient is φ = 264781440.

The previous prime is 992931073. The next prime is 992931143. The reversal of 992931120 is 21139299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688816 + ... + 690255.

Almost surely, 2992931120 is an apocalyptic number.

992931120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

992931120 is an abundant number, since it is smaller than the sum of its proper divisors (2341664976).

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

992931120 is a wasteful number, since it uses less digits than its factorization.

992931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379090 (or 1379081 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 992931120 is about 31510.8095738589. The cubic root of 992931120 is about 997.6381326411.

The spelling of 992931120 in words is "nine hundred ninety-two million, nine hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1379071 2758142 4137213 5516284 6895355 8274426 11032568 12411639 13790710 16548852 20686065 22065136 24823278 27581420 33097704 41372130 49646556 55162840 62058195 66195408 82744260 99293112 110325680 124116390 165488520 198586224 248232780 330977040 496465560 992931120