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121717248 = 293109727
BaseRepresentation
bin1110100000101…
…00001000000000
322111000212200020
413100110020000
5222124422443
620024453440
73005402532
oct720241000
9274025606
10121717248
1162784a74
123491a280
131c2a8753
1412245852
15aa44583
hex7414200

121717248 has 80 divisors (see below), whose sum is σ = 327687360. Its totient is φ = 40144896.

The previous prime is 121717247. The next prime is 121717261. The reversal of 121717248 is 842717121.

It is not an unprimeable number, because it can be changed into a prime (121717247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167061 + ... + 167787.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2121717248 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 121717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163843680).

121717248 is an abundant number, since it is smaller than the sum of its proper divisors (205970112).

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

121717248 is an equidigital number, since it uses as much as digits as its factorization.

121717248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 121717248 is about 11032.5540107447. The cubic root of 121717248 is about 495.5841120134.

The spelling of 121717248 in words is "one hundred twenty-one million, seven hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 727 768 872 1308 1454 1536 1744 2181 2616 2908 3488 4362 5232 5816 6976 8724 10464 11632 13952 17448 20928 23264 27904 34896 41856 46528 55808 69792 79243 83712 93056 139584 158486 167424 186112 237729 279168 316972 372224 475458 558336 633944 950916 1116672 1267888 1901832 2535776 3803664 5071552 7607328 10143104 15214656 20286208 30429312 40572416 60858624 121717248