Search a number
-
+
980868480 = 27351732953
BaseRepresentation
bin111010011101101…
…101110110000000
32112100200021121020
4322131231312000
54002100242410
6241155225440
733210146604
oct7235556600
92470607536
10980868480
11463747009
122345a8280
1312829c167
14943ab504
155b1a2a70
hex3a76dd80

980868480 has 128 divisors (see below), whose sum is σ = 3145655520. Its totient is φ = 259964928.

The previous prime is 980868457. The next prime is 980868481. The reversal of 980868480 is 84868089.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980868481) 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, 330684 + ... + 333636.

Almost surely, 2980868480 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 980868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572827760).

980868480 is an abundant number, since it is smaller than the sum of its proper divisors (2164787040).

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

980868480 is a wasteful number, since it uses less digits than its factorization.

980868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 980868480 is about 31318.8199011393. The cubic root of 980868480 is about 993.5817204870.

The spelling of 980868480 in words is "nine hundred eighty million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 320 346 384 480 519 640 692 865 960 1038 1384 1730 1920 2076 2595 2768 2953 3460 4152 5190 5536 5906 6920 8304 8859 10380 11072 11812 13840 14765 16608 17718 20760 22144 23624 27680 29530 33216 35436 41520 44295 47248 55360 59060 66432 70872 83040 88590 94496 110720 118120 141744 166080 177180 188992 236240 283488 332160 354360 377984 472480 510869 566976 708720 944960 1021738 1133952 1417440 1532607 1889920 2043476 2554345 2834880 3065214 4086952 5108690 5669760 6130428 7663035 8173904 10217380 12260856 15326070 16347808 20434760 24521712 30652140 32695616 40869520 49043424 61304280 65391232 81739040 98086848 122608560 163478080 196173696 245217120 326956160 490434240 980868480