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980068032 = 26331929851
BaseRepresentation
bin111010011010101…
…010011011000000
32112022011121121000
4322122222123000
54001344134112
6241130132000
733200304126
oct7232523300
92468147530
10980068032
1146324a689
12234281000
1312807ba18
149423d916
155b0957dc
hex3a6aa6c0

980068032 has 112 divisors (see below), whose sum is σ = 3032963200. Its totient is φ = 309484800.

The previous prime is 980068031. The next prime is 980068039. The reversal of 980068032 is 230860089.

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 (980068031) 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, 17907 + ... + 47757.

Almost surely, 2980068032 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 980068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516481600).

980068032 is an abundant number, since it is smaller than the sum of its proper divisors (2052895168).

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

980068032 is a wasteful number, since it uses less digits than its factorization.

980068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29891 (or 29875 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 980068032 is about 31306.0382674014. The cubic root of 980068032 is about 993.3113726759.

The spelling of 980068032 in words is "nine hundred eighty million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 29851 32832 59702 89553 119404 179106 238808 268659 358212 477616 537318 567169 716424 805977 955232 1074636 1134338 1432848 1611954 1701507 1910464 2149272 2268676 2865696 3223908 3403014 4298544 4537352 5104521 5731392 6447816 6806028 8597088 9074704 10209042 12895632 13612056 15313563 17194176 18149408 20418084 25791264 27224112 30627126 36298816 40836168 51582528 54448224 61254252 81672336 108896448 122508504 163344672 245017008 326689344 490034016 980068032