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121540986 = 2347195641
BaseRepresentation
bin1110011111010…
…01000101111010
322110200220220000
413033221011322
5222103302421
620021013430
73004036620
oct717510572
9273626800
10121540986
11626745a6
1234854276
131c246458
14121db510
15aa0c226
hex73e917a

121540986 has 80 divisors (see below), whose sum is σ = 327687360. Its totient is φ = 32892480.

The previous prime is 121540963. The next prime is 121541009. The reversal of 121540986 is 689045121.

121540986 is a `hidden beast` number, since 1 + 21 + 540 + 98 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (121540963) and next prime (121541009).

It is a super-2 number, since 2×1215409862 = 29544422555704392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121540986.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18726 + ... + 24366.

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

Almost surely, 2121540986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121540986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163843680).

121540986 is an abundant number, since it is smaller than the sum of its proper divisors (206146374).

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

121540986 is a wasteful number, since it uses less digits than its factorization.

121540986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5672 counting only the distinct ones).

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

The square root of 121540986 is about 11024.5628484761. The cubic root of 121540986 is about 495.3447735793.

The spelling of 121540986 in words is "one hundred twenty-one million, five hundred forty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 5641 7182 10773 11282 16923 21546 33846 39487 50769 78974 101538 107179 118461 152307 214358 236922 304614 321537 355383 456921 643074 710766 750253 913842 964611 1066149 1500506 1929222 2132298 2250759 2893833 3198447 4501518 5787666 6396894 6752277 8681499 13504554 17362998 20256831 40513662 60770493 121540986