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117341568 = 2733191787
BaseRepresentation
bin1101111111001…
…11110110000000
322011210120101000
412333213312000
5220014412233
615351012000
72623246461
oct677476600
9264716330
10117341568
1160266503
123336a000
131b405ba6
1411826d68
15a47cd13
hex6fe7d80

117341568 has 128 divisors (see below), whose sum is σ = 364752000. Its totient is φ = 37034496.

The previous prime is 117341551. The next prime is 117341593. The reversal of 117341568 is 865143711.

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

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

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, 64771 + ... + 66557.

It is an arithmetic number, because the mean of its divisors is an integer number (2849625).

Almost surely, 2117341568 is an apocalyptic number.

117341568 is a gapful number since it is divisible by the number (18) 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 117341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182376000).

117341568 is an abundant number, since it is smaller than the sum of its proper divisors (247410432).

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

117341568 is a wasteful number, since it uses less digits than its factorization.

117341568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1811 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 117341568 is about 10832.4313060365. The cubic root of 117341568 is about 489.5728166376.

The spelling of 117341568 in words is "one hundred seventeen million, three hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1787 1824 2052 2432 2736 3456 3574 3648 4104 5361 5472 7148 7296 8208 10722 10944 14296 16083 16416 21444 21888 28592 32166 32832 33953 42888 48249 57184 64332 65664 67906 85776 96498 101859 114368 128664 135812 171552 192996 203718 228736 257328 271624 305577 343104 385992 407436 514656 543248 611154 686208 771984 814872 916731 1029312 1086496 1222308 1543968 1629744 1833462 2058624 2172992 2444616 3087936 3259488 3666924 4345984 4889232 6175872 6518976 7333848 9778464 13037952 14667696 19556928 29335392 39113856 58670784 117341568