Search a number
-
+
121504152 = 233711371777
BaseRepresentation
bin1110011111000…
…00000110011000
322110122001100210
413033200012120
5222101113102
620020131120
73003524340
oct717400630
9273561323
10121504152
1162649960
1234836aa0
131c232763
14121cbd20
15aa0136c
hex73e0198

121504152 has 128 divisors (see below), whose sum is σ = 389168640. Its totient is φ = 30689280.

The previous prime is 121504127. The next prime is 121504157. The reversal of 121504152 is 251405121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121504157) 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, 67488 + ... + 69264.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2121504152 is an apocalyptic number.

121504152 is a gapful number since it is divisible by the number (12) 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 121504152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

121504152 is an abundant number, since it is smaller than the sum of its proper divisors (267664488).

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

121504152 is a wasteful number, since it uses less digits than its factorization.

121504152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 121504152 is about 11022.8921794600. The cubic root of 121504152 is about 495.2947290814.

Adding to 121504152 its reverse (251405121), we get a palindrome (372909273).

The spelling of 121504152 in words is "one hundred twenty-one million, five hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 37 42 44 56 66 74 77 84 88 111 132 148 154 168 222 231 259 264 296 308 407 444 462 518 616 777 814 888 924 1036 1221 1554 1628 1777 1848 2072 2442 2849 3108 3256 3554 4884 5331 5698 6216 7108 8547 9768 10662 11396 12439 14216 17094 19547 21324 22792 24878 34188 37317 39094 42648 49756 58641 65749 68376 74634 78188 99512 117282 131498 136829 149268 156376 197247 234564 262996 273658 298536 394494 410487 460243 469128 525992 547316 723239 788988 820974 920486 1094632 1380729 1446478 1577976 1641948 1840972 2169717 2761458 2892956 3283896 3681944 4339434 5062673 5522916 5785912 8678868 10125346 11045832 15188019 17357736 20250692 30376038 40501384 60752076 121504152