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117045504 = 2832371373
BaseRepresentation
bin1101111100111…
…11100100000000
322011020112020200
412332133210000
5214430424004
615340405200
72620604352
oct676374400
9264215220
10117045504
1160084024
1233246800
131b3311c4
141178b0d2
15a420239
hex6f9f900

117045504 has 108 divisors (see below), whose sum is σ = 346844316. Its totient is φ = 37933056.

The previous prime is 117045503. The next prime is 117045547. The reversal of 117045504 is 405540711.

It is a happy number.

117045504 is a `hidden beast` number, since 117 + 0 + 45 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 5531904 = 10560^2 + 2352^2 .

It is a super-2 number, since 2×1170455042 = 27399300013228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117045503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84562 + ... + 85934.

Almost surely, 2117045504 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 117045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173422158).

117045504 is an abundant number, since it is smaller than the sum of its proper divisors (229798812).

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

117045504 is a wasteful number, since it uses less digits than its factorization.

117045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 117045504 is about 10818.7570450584. The cubic root of 117045504 is about 489.1607235113.

The spelling of 117045504 in words is "one hundred seventeen million, forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 576 592 666 768 888 1152 1184 1332 1373 1776 2304 2368 2664 2746 3552 4119 4736 5328 5492 7104 8238 9472 10656 10984 12357 14208 16476 21312 21968 24714 28416 32952 42624 43936 49428 50801 65904 85248 87872 98856 101602 131808 152403 175744 197712 203204 263616 304806 351488 395424 406408 457209 527232 609612 790848 812816 914418 1054464 1219224 1581696 1625632 1828836 2438448 3163392 3251264 3657672 4876896 6502528 7315344 9753792 13005056 14630688 19507584 29261376 39015168 58522752 117045504