Search a number
-
+
2400891372 = 22321137163861
BaseRepresentation
bin1000111100011010…
…1011000111101100
320012022200220210200
42033012223013230
514404112010442
61034123233500
7113332145205
oct21706530754
96168626720
102400891372
111022271250
12570078890
132c353b5a9
1418ac125ac
15e0ba034c
hex8f1ab1ec

2400891372 has 72 divisors (see below), whose sum is σ = 6799617552. Its totient is φ = 707875200.

The previous prime is 2400891343. The next prime is 2400891373. The reversal of 2400891372 is 2731980042.

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

It is not an unprimeable number, because it can be changed into a prime (2400891373) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67279 + ... + 96582.

Almost surely, 22400891372 is an apocalyptic number.

2400891372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2400891372 is an abundant number, since it is smaller than the sum of its proper divisors (4398726180).

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

2400891372 is a wasteful number, since it uses less digits than its factorization.

2400891372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163919 (or 163914 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2400891372 is about 48998.8915384828. The cubic root of 2400891372 is about 1339.0316334779.

It can be divided in two parts, 24008913 and 72, that added together give a triangular number (24008985 = T6929).

The spelling of 2400891372 in words is "two billion, four hundred million, eight hundred ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 163861 327722 491583 655444 983166 1474749 1802471 1966332 2949498 3604942 5407413 5898996 6062857 7209884 10814826 12125714 16222239 18188571 21629652 24251428 32444478 36377142 54565713 64888956 66691427 72754284 109131426 133382854 200074281 218262852 266765708 400148562 600222843 800297124 1200445686 2400891372