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117995490 = 23252953853
BaseRepresentation
bin1110000100001…
…11011111100010
322020000210101100
413002013133202
5220201323430
615413015230
72631642114
oct702073742
9266023340
10117995490
1160672838
1233624516
131b5a4722
14119573b4
15a55b960
hex70877e2

117995490 has 96 divisors (see below), whose sum is σ = 323734320. Its totient is φ = 29772288.

The previous prime is 117995467. The next prime is 117995503. The reversal of 117995490 is 94599711.

117995490 is a `hidden beast` number, since 1 + 1 + 79 + 95 + 490 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34327881 + 83667609 = 5859^2 + 9147^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137904 + ... + 138756.

Almost surely, 2117995490 is an apocalyptic number.

117995490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117995490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).

117995490 is an abundant number, since it is smaller than the sum of its proper divisors (205738830).

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

117995490 is a wasteful number, since it uses less digits than its factorization.

117995490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 117995490 is about 10862.5728996403. The cubic root of 117995490 is about 490.4805642154.

It can be divided in two parts, 1179 and 95490, that added together give a palindrome (96669).

The spelling of 117995490 in words is "one hundred seventeen million, nine hundred ninety-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 53 58 87 90 106 145 159 174 261 265 290 318 435 477 522 530 795 853 870 954 1305 1537 1590 1706 2385 2559 2610 3074 4265 4611 4770 5118 7677 7685 8530 9222 12795 13833 15354 15370 23055 24737 25590 27666 38385 45209 46110 49474 69165 74211 76770 90418 123685 135627 138330 148422 222633 226045 247370 271254 371055 406881 445266 452090 678135 742110 813762 1113165 1311061 1356270 2034405 2226330 2622122 3933183 4068810 6555305 7866366 11799549 13110610 19665915 23599098 39331830 58997745 117995490