Search a number
-
+
980968752 = 24332818081
BaseRepresentation
bin111010011110000…
…110010100110000
32112100212101011000
4322132012110300
54002112000002
6241201322000
733211045131
oct7236062460
92470771130
10980968752
11463805385
12234636300
131283059aa
14943d5c88
155b1c261c
hex3a786530

980968752 has 80 divisors (see below), whose sum is σ = 2826113760. Its totient is φ = 325785600.

The previous prime is 980968721. The next prime is 980968757. The reversal of 980968752 is 257869089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (980968757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117352 + ... + 125432.

It is an arithmetic number, because the mean of its divisors is an integer number (35326422).

Almost surely, 2980968752 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 980968752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413056880).

980968752 is an abundant number, since it is smaller than the sum of its proper divisors (1845145008).

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

980968752 is a wasteful number, since it uses less digits than its factorization.

980968752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 980968752 is about 31320.4206868299. The cubic root of 980968752 is about 993.6155765487.

The spelling of 980968752 in words is "nine hundred eighty million, nine hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 3372 4496 5058 6744 7587 8081 10116 13488 15174 16162 20232 24243 30348 32324 40464 48486 60696 64648 72729 96972 121392 129296 145458 193944 218187 290916 387888 436374 581832 872748 1163664 1745496 2270761 3490992 4541522 6812283 9083044 13624566 18166088 20436849 27249132 36332176 40873698 54498264 61310547 81747396 108996528 122621094 163494792 245242188 326989584 490484376 980968752