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972240912 = 243223373787
BaseRepresentation
bin111001111100110…
…011100000010000
32111202102221210200
4321330303200100
53442343202122
6240250255200
733043624416
oct7174634020
92452387720
10972240912
11459893a95
12231727500
1312656b1a6
14931a32b6
155a54b5ac
hex39f33810

972240912 has 120 divisors (see below), whose sum is σ = 2850454464. Its totient is φ = 308765952.

The previous prime is 972240911. The next prime is 972240917. The reversal of 972240912 is 219042279.

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 (972240911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234983 + ... + 1235769.

Almost surely, 2972240912 is an apocalyptic number.

972240912 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972240912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425227232).

972240912 is an abundant number, since it is smaller than the sum of its proper divisors (1878213552).

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

972240912 is a wasteful number, since it uses less digits than its factorization.

972240912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 972240912 is about 31180.7779248690. Note that the first 3 decimals coincide. The cubic root of 972240912 is about 990.6600067863.

It can be divided in two parts, 97 and 2240912, that added together give a square (2241009 = 14972).

The spelling of 972240912 in words is "nine hundred seventy-two million, two hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 373 414 552 746 787 828 1104 1119 1492 1574 1656 2238 2361 2984 3148 3312 3357 4476 4722 5968 6296 6714 7083 8579 8952 9444 12592 13428 14166 17158 17904 18101 18888 25737 26856 28332 34316 36202 37776 51474 53712 54303 56664 68632 72404 77211 102948 108606 113328 137264 144808 154422 162909 205896 217212 289616 293551 308844 325818 411792 434424 587102 617688 651636 868848 880653 1174204 1235376 1303272 1761306 2348408 2606544 2641959 3522612 4696816 5283918 6751673 7045224 10567836 13503346 14090448 20255019 21135672 27006692 40510038 42271344 54013384 60765057 81020076 108026768 121530114 162040152 243060228 324080304 486120456 972240912