Search a number
-
+
121773696 = 27311127227
BaseRepresentation
bin1110100001000…
…01111010000000
322111010202002220
413100201322000
5222133224241
620030011040
73006026232
oct720417200
9274122086
10121773696
1162813420
1234946a80
131c2c8355
141225c252
15aa56166
hex7421e80

121773696 has 128 divisors (see below), whose sum is σ = 357212160. Its totient is φ = 36449280.

The previous prime is 121773689. The next prime is 121773719. The reversal of 121773696 is 696377121.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536335 + ... + 536561.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2121773696 is an apocalyptic number.

121773696 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 121773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

121773696 is an abundant number, since it is smaller than the sum of its proper divisors (235438464).

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

121773696 is a wasteful number, since it uses less digits than its factorization.

121773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 121773696 is about 11035.1119613713. Note that the first 3 decimals coincide. The cubic root of 121773696 is about 495.6607114244.

The spelling of 121773696 in words is "one hundred twenty-one million, seven hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 227 254 264 352 381 384 454 508 528 681 704 762 908 1016 1056 1362 1397 1408 1524 1816 2032 2112 2497 2724 2794 3048 3632 4064 4191 4224 4994 5448 5588 6096 7264 7491 8128 8382 9988 10896 11176 12192 14528 14982 16256 16764 19976 21792 22352 24384 28829 29056 29964 33528 39952 43584 44704 48768 57658 59928 67056 79904 86487 87168 89408 115316 119856 134112 159808 172974 178816 230632 239712 268224 317119 319616 345948 461264 479424 536448 634238 691896 922528 951357 958848 1268476 1383792 1845056 1902714 2536952 2767584 3690112 3805428 5073904 5535168 7610856 10147808 11070336 15221712 20295616 30443424 40591232 60886848 121773696