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121092608 = 2971323113
BaseRepresentation
bin1110011011110…
…11101000000000
322102212010211102
413031323220000
5221444430413
620003233532
73000161450
oct715735000
9272763742
10121092608
116239873a
12346788a8
131c11a340
1412121d60
15a96e458
hex737ba00

121092608 has 160 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 45416448.

The previous prime is 121092607. The next prime is 121092611. The reversal of 121092608 is 806290121.

It is not an unprimeable number, because it can be changed into a prime (121092607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071560 + ... + 1071672.

Almost surely, 2121092608 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 121092608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

121092608 is an abundant number, since it is smaller than the sum of its proper divisors (192387328).

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

121092608 is a wasteful number, since it uses less digits than its factorization.

121092608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 121092608 is about 11004.2086494214. The cubic root of 121092608 is about 494.7348959665.

The spelling of 121092608 in words is "one hundred twenty-one million, ninety-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 113 128 161 182 184 208 224 226 256 299 322 364 368 416 448 452 512 598 644 728 736 791 832 896 904 1196 1288 1456 1469 1472 1582 1664 1792 1808 2093 2392 2576 2599 2912 2938 2944 3164 3328 3584 3616 4186 4784 5152 5198 5824 5876 5888 6328 6656 7232 8372 9568 10283 10304 10396 11648 11752 11776 12656 14464 16744 18193 19136 20566 20608 20792 23296 23504 25312 28928 33488 33787 36386 38272 41132 41216 41584 46592 47008 50624 57856 66976 67574 72772 76544 82264 82432 83168 94016 101248 133952 135148 145544 153088 164528 166336 188032 202496 236509 267904 270296 291088 329056 332672 376064 404992 473018 535808 540592 582176 658112 665344 752128 946036 1071616 1081184 1164352 1316224 1330688 1892072 2162368 2328704 2632448 3784144 4324736 4657408 5264896 7568288 8649472 9314816 15136576 17298944 30273152 60546304 121092608