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121695480 = 23335281401
BaseRepresentation
bin1110100000011…
…10110011111000
322110222202211000
413100032303320
5222123223410
620024205000
73005252214
oct720166370
9273882730
10121695480
116276a685
1234909760
131c29b87a
141223b944
15aa3cdc0
hex740ecf8

121695480 has 128 divisors (see below), whose sum is σ = 408110400. Its totient is φ = 32256000.

The previous prime is 121695467. The next prime is 121695527. The reversal of 121695480 is 84596121.

121695480 is a `hidden beast` number, since 12 + 169 + 5 + 480 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303280 + ... + 303680.

Almost surely, 2121695480 is an apocalyptic number.

121695480 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 121695480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204055200).

121695480 is an abundant number, since it is smaller than the sum of its proper divisors (286414920).

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

121695480 is a wasteful number, since it uses less digits than its factorization.

121695480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121695480 is about 11031.5674316935. The cubic root of 121695480 is about 495.5545667126.

The spelling of 121695480 in words is "one hundred twenty-one million, six hundred ninety-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 281 360 401 540 562 802 843 1080 1124 1203 1405 1604 1686 2005 2248 2406 2529 2810 3208 3372 3609 4010 4215 4812 5058 5620 6015 6744 7218 7587 8020 8430 9624 10116 10827 11240 12030 12645 14436 15174 16040 16860 18045 20232 21654 24060 25290 28872 30348 33720 36090 37935 43308 48120 50580 54135 60696 72180 75870 86616 101160 108270 112681 144360 151740 216540 225362 303480 338043 433080 450724 563405 676086 901448 1014129 1126810 1352172 1690215 2028258 2253620 2704344 3042387 3380430 4056516 4507240 5070645 6084774 6760860 8113032 10141290 12169548 13521720 15211935 20282580 24339096 30423870 40565160 60847740 121695480