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117732480 = 2735173607
BaseRepresentation
bin1110000010001…
…11010010000000
322012112102121020
413001013102000
5220114414410
615403225440
72626465245
oct701072200
9265472536
10117732480
1160503178
1233518280
131b511ab8
14118c95cc
15a508a70
hex7047480

117732480 has 128 divisors (see below), whose sum is σ = 397457280. Its totient is φ = 29540352.

The previous prime is 117732403. The next prime is 117732491. The reversal of 117732480 is 84237711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30837 + ... + 34443.

It is an arithmetic number, because the mean of its divisors is an integer number (3105135).

Almost surely, 2117732480 is an apocalyptic number.

117732480 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 117732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198728640).

117732480 is an abundant number, since it is smaller than the sum of its proper divisors (279724800).

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

117732480 is a wasteful number, since it uses less digits than its factorization.

117732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 117732480 is about 10850.4598980873. The cubic root of 117732480 is about 490.1158687531.

The spelling of 117732480 in words is "one hundred seventeen million, seven hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 3607 4080 5440 6528 7214 8160 10821 10880 14428 16320 18035 21642 28856 32640 36070 43284 54105 57712 61319 72140 86568 108210 115424 122638 144280 173136 183957 216420 230848 245276 288560 306595 346272 367914 432840 461696 490552 577120 613190 692544 735828 865680 919785 981104 1154240 1226380 1385088 1471656 1731360 1839570 1962208 2308480 2452760 2943312 3462720 3679140 3924416 4905520 5886624 6925440 7358280 7848832 9811040 11773248 14716560 19622080 23546496 29433120 39244160 58866240 117732480