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121640960 = 211571697
BaseRepresentation
bin1110100000000…
…01100000000000
322110220000000202
413100001200000
5222120002320
620023104332
73004634240
oct720014000
9273800022
10121640960
1162732721
12348a20a8
131c27cacc
1412225b20
15aa2bb75
hex7401800

121640960 has 96 divisors (see below), whose sum is σ = 333758880. Its totient is φ = 41680896.

The previous prime is 121640957. The next prime is 121640969. The reversal of 121640960 is 69046121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121640969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70832 + ... + 72528.

It is an arithmetic number, because the mean of its divisors is an integer number (3476655).

Almost surely, 2121640960 is an apocalyptic number.

121640960 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 121640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166879440).

121640960 is an abundant number, since it is smaller than the sum of its proper divisors (212117920).

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

121640960 is an equidigital number, since it uses as much as digits as its factorization.

121640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 121640960 is about 11029.0960645014. The cubic root of 121640960 is about 495.4805522665.

The spelling of 121640960 in words is "one hundred twenty-one million, six hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1697 1792 2048 2240 2560 3394 3584 4480 5120 6788 7168 8485 8960 10240 11879 13576 14336 16970 17920 23758 27152 33940 35840 47516 54304 59395 67880 71680 95032 108608 118790 135760 190064 217216 237580 271520 380128 434432 475160 543040 760256 868864 950320 1086080 1520512 1737728 1900640 2172160 3041024 3475456 3801280 4344320 6082048 7602560 8688640 12164096 15205120 17377280 24328192 30410240 60820480 121640960