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121676544 = 2832114801
BaseRepresentation
bin1110100000010…
…10001100000000
322110221210211200
413100022030000
5222122122134
620023541200
73005143053
oct720121400
9273853750
10121676544
1162757430
12348ba800
131c293072
1412234a9a
15aa37499
hex740a300

121676544 has 108 divisors (see below), whose sum is σ = 382796232. Its totient is φ = 36864000.

The previous prime is 121676483. The next prime is 121676567. The reversal of 121676544 is 445676121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121676499 and 121676508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22944 + ... + 27744.

Almost surely, 2121676544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191398116).

121676544 is an abundant number, since it is smaller than the sum of its proper divisors (261119688).

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

121676544 is a wasteful number, since it uses less digits than its factorization.

121676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4817 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 121676544 is about 11030.7091340494. The cubic root of 121676544 is about 495.5288623670.

The spelling of 121676544 in words is "one hundred twenty-one million, six hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 4801 6336 8448 9602 12672 14403 19204 25344 28806 38408 43209 52811 57612 76816 86418 105622 115224 153632 158433 172836 211244 230448 307264 316866 345672 422488 460896 475299 614528 633732 691344 844976 921792 950598 1229056 1267464 1382688 1689952 1843584 1901196 2534928 2765376 3379904 3687168 3802392 5069856 5530752 6759808 7604784 10139712 11061504 13519616 15209568 20279424 30419136 40558848 60838272 121676544