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117641040 = 24351124051
BaseRepresentation
bin1110000001100…
…00111101010000
322012100210011120
413000300331100
5220104003130
615401242240
72625634536
oct700607520
9265323146
10117641040
1160450500
1233493380
131b4ac2aa
14118a4156
15a4db910
hex7030f50

117641040 has 120 divisors (see below), whose sum is σ = 400953504. Its totient is φ = 28512000.

The previous prime is 117641009. The next prime is 117641059. The reversal of 117641040 is 40146711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117641040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27015 + ... + 31065.

Almost surely, 2117641040 is an apocalyptic number.

117641040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200476752).

117641040 is an abundant number, since it is smaller than the sum of its proper divisors (283312464).

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

117641040 is a wasteful number, since it uses less digits than its factorization.

117641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 117641040 is about 10846.2454333285. The cubic root of 117641040 is about 489.9889487998.

Adding to 117641040 its reverse (40146711), we get a palindrome (157787751).

The spelling of 117641040 in words is "one hundred seventeen million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4051 4840 5808 7260 8102 9680 12153 14520 16204 20255 24306 29040 32408 40510 44561 48612 60765 64816 81020 89122 97224 121530 133683 162040 178244 194448 222805 243060 267366 324080 356488 445610 486120 490171 534732 668415 712976 891220 972240 980342 1069464 1336830 1470513 1782440 1960684 2138928 2450855 2673660 2941026 3564880 3921368 4901710 5347320 5882052 7352565 7842736 9803420 10694640 11764104 14705130 19606840 23528208 29410260 39213680 58820520 117641040