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121373856 = 2533592381
BaseRepresentation
bin1110011110000…
…00010010100000
322110101102122000
413033000102200
5222032430411
620013244000
73002442432
oct717002240
9273342560
10121373856
116256aa7a
1234793600
131c1b8366
1412196652
15a9c7956
hex73c04a0

121373856 has 96 divisors (see below), whose sum is σ = 360158400. Its totient is φ = 39755520.

The previous prime is 121373851. The next prime is 121373887. The reversal of 121373856 is 658373121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1213738562 = 29463225840617472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121373856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121373851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49786 + ... + 52166.

It is an arithmetic number, because the mean of its divisors is an integer number (3751650).

Almost surely, 2121373856 is an apocalyptic number.

121373856 is a gapful number since it is divisible by the number (16) 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 121373856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180079200).

121373856 is an abundant number, since it is smaller than the sum of its proper divisors (238784544).

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

121373856 is a wasteful number, since it uses less digits than its factorization.

121373856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2445 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 121373856 is about 11016.9803485347. The cubic root of 121373856 is about 495.1176212682.

The spelling of 121373856 in words is "one hundred twenty-one million, three hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2381 2832 3186 4248 4762 5664 6372 7143 8496 9524 12744 14286 16992 19048 21429 25488 28572 38096 42858 50976 57144 64287 76192 85716 114288 128574 140479 171432 228576 257148 280958 342864 421437 514296 561916 685728 842874 1028592 1123832 1264311 1685748 2057184 2247664 2528622 3371496 3792933 4495328 5057244 6742992 7585866 10114488 13485984 15171732 20228976 30343464 40457952 60686928 121373856