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973153980 = 223351802137
BaseRepresentation
bin111010000000010…
…010011010111100
32111211011100022000
4322000102122330
53443111411410
6240322022300
733054446421
oct7200223274
92454140260
10973153980
1145a357a97
12231aa7990
131267ca976
149335dd48
155a67bdc0
hex3a0126bc

973153980 has 48 divisors (see below), whose sum is σ = 3027591840. Its totient is φ = 259507584.

The previous prime is 973153939. The next prime is 973153997. The reversal of 973153980 is 89351379.

It is a happy number.

973153980 is a `hidden beast` number, since 9 + 7 + 31 + 539 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 900529 + ... + 901608.

It is an arithmetic number, because the mean of its divisors is an integer number (63074830).

Almost surely, 2973153980 is an apocalyptic number.

973153980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

973153980 is an abundant number, since it is smaller than the sum of its proper divisors (2054437860).

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

973153980 is a wasteful number, since it uses less digits than its factorization.

973153980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802155 (or 1802147 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 973153980 is about 31195.4160094075. The cubic root of 973153980 is about 990.9700317761.

The spelling of 973153980 in words is "nine hundred seventy-three million, one hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1802137 3604274 5406411 7208548 9010685 10812822 16219233 18021370 21625644 27032055 32438466 36042740 48657699 54064110 64876932 81096165 97315398 108128220 162192330 194630796 243288495 324384660 486576990 973153980