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117816444 = 22342912539
BaseRepresentation
bin1110000010110…
…11110001111100
322012200200210000
413001123301330
5220130111234
615405114300
72630265114
oct701336174
9265620700
10117816444
1160560269
1233558990
131b541095
141190c044
15a523899
hex705bc7c

117816444 has 60 divisors (see below), whose sum is σ = 318641400. Its totient is φ = 37914912.

The previous prime is 117816427. The next prime is 117816449. The reversal of 117816444 is 444618711.

117816444 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 1 + 644 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117816399 and 117816408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117816449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3127 + ... + 15665.

It is an arithmetic number, because the mean of its divisors is an integer number (5310690).

Almost surely, 2117816444 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 117816444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159320700).

117816444 is an abundant number, since it is smaller than the sum of its proper divisors (200824956).

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

117816444 is a wasteful number, since it uses less digits than its factorization.

117816444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12584 (or 12573 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 117816444 is about 10854.3283532423. The cubic root of 117816444 is about 490.2323540532.

It can be divided in two parts, 11781 and 6444, that added together give a square (18225 = 1352).

The spelling of 117816444 in words is "one hundred seventeen million, eight hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 12539 25078 37617 50156 75234 112851 150468 225702 338553 363631 451404 677106 727262 1015659 1090893 1354212 1454524 2031318 2181786 3272679 4062636 4363572 6545358 9818037 13090716 19636074 29454111 39272148 58908222 117816444