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121644320 = 2557313347
BaseRepresentation
bin1110100000000…
…10010100100000
322110220011122012
413100002110200
5222120104240
620023132052
73004650110
oct720022440
9273804565
10121644320
11627351a6
12348a4028
131c2814b5
1412227040
15aa2cb65
hex7402520

121644320 has 96 divisors (see below), whose sum is σ = 330438528. Its totient is φ = 41453568.

The previous prime is 121644317. The next prime is 121644337. The reversal of 121644320 is 23446121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350387 + ... + 350733.

It is an arithmetic number, because the mean of its divisors is an integer number (3442068).

Almost surely, 2121644320 is an apocalyptic number.

121644320 is a gapful number since it is divisible by the number (10) 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 121644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165219264).

121644320 is an abundant number, since it is smaller than the sum of its proper divisors (208794208).

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

121644320 is a wasteful number, since it uses less digits than its factorization.

121644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 121644320 is about 11029.2483878096. The cubic root of 121644320 is about 495.4851143244.

The spelling of 121644320 in words is "one hundred twenty-one million, six hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 313 347 560 626 694 1120 1252 1388 1565 1735 2191 2429 2504 2776 3130 3470 4382 4858 5008 5552 6260 6940 8764 9716 10016 10955 11104 12145 12520 13880 17528 19432 21910 24290 25040 27760 35056 38864 43820 48580 50080 55520 70112 77728 87640 97160 108611 175280 194320 217222 350560 388640 434444 543055 760277 868888 1086110 1520554 1737776 2172220 3041108 3475552 3801385 4344440 6082216 7602770 8688880 12164432 15205540 17377760 24328864 30411080 60822160 121644320