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980928240 = 243553671151
BaseRepresentation
bin111010011101111…
…100011011110000
32112100210022120120
4322131330123300
54002104200430
6241200410240
733210516045
oct7235743360
92470708516
10980928240
114637879a6
12234616980
131282c0416
14943c51cc
155b1b5610
hex3a77c6f0

980928240 has 160 divisors (see below), whose sum is σ = 3147227136. Its totient is φ = 252595200.

The previous prime is 980928217. The next prime is 980928241. The reversal of 980928240 is 42829089.

It is a junction number, because it is equal to n+sod(n) for n = 980928192 and 980928201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980928241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851665 + ... + 852815.

Almost surely, 2980928240 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 980928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573613568).

980928240 is an abundant number, since it is smaller than the sum of its proper divisors (2166298896).

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

980928240 is a wasteful number, since it uses less digits than its factorization.

980928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 980928240 is about 31319.7739455444. The cubic root of 980928240 is about 993.6018982645.

The spelling of 980928240 in words is "nine hundred eighty million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 67 80 106 120 134 159 201 212 240 265 268 318 335 402 424 530 536 636 670 795 804 848 1005 1060 1072 1151 1272 1340 1590 1608 2010 2120 2302 2544 2680 3180 3216 3453 3551 4020 4240 4604 5360 5755 6360 6906 7102 8040 9208 10653 11510 12720 13812 14204 16080 17265 17755 18416 21306 23020 27624 28408 34530 35510 42612 46040 53265 55248 56816 61003 69060 71020 77117 85224 92080 106530 122006 138120 142040 154234 170448 183009 213060 231351 244012 276240 284080 305015 308468 366018 385585 426120 462702 488024 610030 616936 732036 771170 852240 915045 925404 976048 1156755 1220060 1233872 1464072 1542340 1830090 1850808 2313510 2440120 2928144 3084680 3660180 3701616 4087201 4627020 4880240 6169360 7320360 8174402 9254040 12261603 14640720 16348804 18508080 20436005 24523206 32697608 40872010 49046412 61308015 65395216 81744020 98092824 122616030 163488040 196185648 245232060 326976080 490464120 980928240