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980754016 = 25112923313
BaseRepresentation
bin111010011101010…
…001111001100000
32112100110110120211
4322131101321200
54002033112031
6241152543504
733206162104
oct7235217140
92470413524
10980754016
11463679010
12234551b94
1312825c028
149437b904
155b17dbb1
hex3a751e60

980754016 has 72 divisors (see below), whose sum is σ = 2182189464. Its totient is φ = 430295040.

The previous prime is 980753981. The next prime is 980754023. The reversal of 980754016 is 610457089.

980754016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 980754016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294376 + ... + 297688.

It is an arithmetic number, because the mean of its divisors is an integer number (30308187).

Almost surely, 2980754016 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 980754016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091094732).

980754016 is an abundant number, since it is smaller than the sum of its proper divisors (1201435448).

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

980754016 is a wasteful number, since it uses less digits than its factorization.

980754016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 980754016 is about 31316.9924481902. The cubic root of 980754016 is about 993.5430697862.

The spelling of 980754016 in words is "nine hundred eighty million, seven hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 841 928 1276 1682 2552 3313 3364 5104 6626 6728 9251 10208 13252 13456 18502 26504 26912 36443 37004 53008 72886 74008 96077 106016 145772 148016 192154 291544 296032 384308 583088 768616 1056847 1166176 1537232 2113694 2786233 3074464 4227388 5572466 8454776 11144932 16909552 22289864 30648563 33819104 44579728 61297126 89159456 122594252 245188504 490377008 980754016