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121908960 = 2532584659
BaseRepresentation
bin1110100010000…
…10111011100000
322111101121122200
413101002323200
5222202041320
620032533200
73010131465
oct721027340
9274347580
10121908960
11628a6008
12349b1200
131c344aa4
141229566c
15aa81290
hex7442ee0

121908960 has 72 divisors (see below), whose sum is σ = 416019240. Its totient is φ = 32508672.

The previous prime is 121908931. The next prime is 121908961. The reversal of 121908960 is 69809121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121908961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40890 + ... + 43769.

It is an arithmetic number, because the mean of its divisors is an integer number (5778045).

Almost surely, 2121908960 is an apocalyptic number.

121908960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121908960 is an abundant number, since it is smaller than the sum of its proper divisors (294110280).

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

121908960 is a wasteful number, since it uses less digits than its factorization.

121908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84680 (or 84669 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 121908960 is about 11041.2390609025. The cubic root of 121908960 is about 495.8441671400.

The spelling of 121908960 in words is "one hundred twenty-one million, nine hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 84659 169318 253977 338636 423295 507954 677272 761931 846590 1015908 1269885 1354544 1523862 1693180 2031816 2539770 2709088 3047724 3386360 3809655 4063632 5079540 6095448 6772720 7619310 8127264 10159080 12190896 13545440 15238620 20318160 24381792 30477240 40636320 60954480 121908960