Search a number
-
+
117620448 = 25311313593
BaseRepresentation
bin1110000001010…
…11111011100000
322012022201220220
413000223323200
5220102323243
615401003040
72625520521
oct700537340
9265281826
10117620448
1160436a90
1233483480
131b4a2aca
141189a848
15a4d5783
hex702bee0

117620448 has 96 divisors (see below), whose sum is σ = 347784192. Its totient is φ = 34483200.

The previous prime is 117620441. The next prime is 117620533. The reversal of 117620448 is 844026711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117620441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30940 + ... + 34532.

It is an arithmetic number, because the mean of its divisors is an integer number (3622752).

Almost surely, 2117620448 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 117620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173892096).

117620448 is an abundant number, since it is smaller than the sum of its proper divisors (230163744).

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

117620448 is a wasteful number, since it uses less digits than its factorization.

117620448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 117620448 is about 10845.2961232048. The cubic root of 117620448 is about 489.9603577536.

The spelling of 117620448 in words is "one hundred seventeen million, six hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 3593 4092 5456 7186 8184 10779 10912 14372 16368 21558 28744 32736 39523 43116 57488 79046 86232 111383 114976 118569 158092 172464 222766 237138 316184 334149 344928 445532 474276 632368 668298 891064 948552 1225213 1264736 1336596 1782128 1897104 2450426 2673192 3564256 3675639 3794208 4900852 5346384 7351278 9801704 10692768 14702556 19603408 29405112 39206816 58810224 117620448