Search a number
-
+
121497376 = 25711133793
BaseRepresentation
bin1110011110111…
…10011100100000
322110121201001211
413033132130200
5222100404001
620020035504
73003465520
oct717363440
9273551054
10121497376
1162644860
1234832b94
131c22c650
14121c9680
15a9ee351
hex73de720

121497376 has 96 divisors (see below), whose sum is σ = 321245568. Its totient is φ = 43683840.

The previous prime is 121497367. The next prime is 121497377. The reversal of 121497376 is 673794121.

It is a super-2 number, since 2×1214973762 = 29523224749770752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121497377) 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, 30136 + ... + 33928.

It is an arithmetic number, because the mean of its divisors is an integer number (3346308).

Almost surely, 2121497376 is an apocalyptic number.

121497376 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 121497376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160622784).

121497376 is an abundant number, since it is smaller than the sum of its proper divisors (199748192).

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

121497376 is a wasteful number, since it uses less digits than its factorization.

121497376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3826 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 121497376 is about 11022.5848148245. The cubic root of 121497376 is about 495.2855217706.

The spelling of 121497376 in words is "one hundred twenty-one million, four hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 3793 4004 4576 7586 8008 15172 16016 26551 30344 32032 41723 49309 53102 60688 83446 98618 106204 121376 166892 197236 212408 292061 333784 345163 394472 424816 542399 584122 667568 690326 788944 849632 1084798 1168244 1335136 1380652 1577888 2169596 2336488 2761304 3796793 4339192 4672976 5522608 7593586 8678384 9345952 11045216 15187172 17356768 30374344 60748688 121497376