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121928976 = 2434137237
BaseRepresentation
bin1110100010001…
…11110100010000
322111102122010000
413101013310100
5222203211401
620033210000
73010244031
oct721076420
9274378100
10121928976
116290a054
1234a00900
131c350c30
141229ca88
15aa87186
hex7447d10

121928976 has 100 divisors (see below), whose sum is σ = 380096332. Its totient is φ = 37511424.

The previous prime is 121928969. The next prime is 121928977. The reversal of 121928976 is 679829121.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 74649600 = 6876^2 + 8640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121928977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13230 + ... + 20466.

Almost surely, 2121928976 is an apocalyptic number.

121928976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121928976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190048166).

121928976 is an abundant number, since it is smaller than the sum of its proper divisors (258167356).

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

121928976 is a wasteful number, since it uses less digits than its factorization.

121928976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7255 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 121928976 is about 11042.1454437079. The cubic root of 121928976 is about 495.8713028915.

The spelling of 121928976 in words is "one hundred twenty-one million, nine hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 7237 8424 14474 16848 21711 28948 43422 57896 65133 86844 94081 115792 130266 173688 188162 195399 260532 282243 347376 376324 390798 521064 564486 586197 752648 781596 846729 1042128 1128972 1172394 1505296 1563192 1693458 2257944 2344788 2540187 3126384 3386916 4515888 4689576 5080374 6773832 7620561 9379152 10160748 13547664 15241122 20321496 30482244 40642992 60964488 121928976