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121732072 = 23731137109
BaseRepresentation
bin1110100000101…
…11101111101000
322111001122000021
413100113233220
5222130411242
620025050224
73005464000
oct720275750
9274048007
10121732072
1162795120
1234926974
131c2b2417
141224b000
15aa48b67
hex7417be8

121732072 has 128 divisors (see below), whose sum is σ = 300960000. Its totient is φ = 45722880.

The previous prime is 121732067. The next prime is 121732073. The reversal of 121732072 is 270237121.

It is not an unprimeable number, because it can be changed into a prime (121732073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116754 + ... + 1116862.

It is an arithmetic number, because the mean of its divisors is an integer number (2351250).

Almost surely, 2121732072 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 121732072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150480000).

121732072 is an abundant number, since it is smaller than the sum of its proper divisors (179227928).

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

121732072 is a wasteful number, since it uses less digits than its factorization.

121732072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 121732072 is about 11033.2258202214. The cubic root of 121732072 is about 495.6042303362.

Adding to 121732072 its reverse (270237121), we get a palindrome (391969193).

The spelling of 121732072 in words is "one hundred twenty-one million, seven hundred thirty-two thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 74 77 88 98 109 148 154 196 218 259 296 308 343 392 407 436 518 539 616 686 763 814 872 1036 1078 1199 1372 1526 1628 1813 2072 2156 2398 2744 2849 3052 3256 3626 3773 4033 4312 4796 5341 5698 6104 7252 7546 8066 8393 9592 10682 11396 12691 14504 15092 16132 16786 19943 21364 22792 25382 28231 30184 32264 33572 37387 39886 42728 44363 50764 56462 58751 67144 74774 79772 88726 101528 112924 117502 139601 149548 159544 177452 197617 225848 235004 279202 299096 310541 354904 395234 411257 470008 558404 621082 790468 822514 1116808 1242164 1383319 1580936 1645028 2173787 2484328 2766638 3290056 4347574 5533276 8695148 11066552 15216509 17390296 30433018 60866036 121732072