Search a number
-
+
117053424 = 2434181499
BaseRepresentation
bin1101111101000…
…01011111110000
322011020221010000
412332201133300
5214431202144
615340510000
72620636425
oct676413760
9264227100
10117053424
1160089a74
123324b300
131b3349a7
141178dd4c
15a422769
hex6fa17f0

117053424 has 100 divisors (see below), whose sum is σ = 341341000. Its totient is φ = 38724480.

The previous prime is 117053413. The next prime is 117053437. The reversal of 117053424 is 424350711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234327 + ... + 234825.

It is an arithmetic number, because the mean of its divisors is an integer number (3413410).

Almost surely, 2117053424 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 117053424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170670500).

117053424 is an abundant number, since it is smaller than the sum of its proper divisors (224287576).

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

117053424 is a wasteful number, since it uses less digits than its factorization.

117053424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 117053424 is about 10819.1230698241. The cubic root of 117053424 is about 489.1717564441.

It can be divided in two parts, 11705 and 3424, that added together give a square (15129 = 1232).

The spelling of 117053424 in words is "one hundred seventeen million, fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 181 216 324 362 432 499 543 648 724 998 1086 1296 1448 1497 1629 1996 2172 2896 2994 3258 3992 4344 4491 4887 5988 6516 7984 8688 8982 9774 11976 13032 13473 14661 17964 19548 23952 26064 26946 29322 35928 39096 40419 53892 58644 71856 78192 80838 90319 107784 117288 161676 180638 215568 234576 270957 323352 361276 541914 646704 722552 812871 1083828 1445104 1625742 2167656 2438613 3251484 4335312 4877226 6502968 7315839 9754452 13005936 14631678 19508904 29263356 39017808 58526712 117053424