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116556240 = 24354710333
BaseRepresentation
bin1101111001010…
…00000111010000
322010022200002210
412330220013100
5214314244430
615322112120
72613466053
oct674500720
9263280083
10116556240
115a87a479
123304b640
131b1bc5b8
14116a0a9a
15a3752b0
hex6f281d0

116556240 has 80 divisors (see below), whose sum is σ = 369047808. Its totient is φ = 30417408.

The previous prime is 116556229. The next prime is 116556257. The reversal of 116556240 is 42655611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116556198 and 116556207.

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, 6114 + ... + 16446.

Almost surely, 2116556240 is an apocalyptic number.

116556240 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 116556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184523904).

116556240 is an abundant number, since it is smaller than the sum of its proper divisors (252491568).

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

116556240 is a wasteful number, since it uses less digits than its factorization.

116556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 116556240 is about 10796.1215258073. The cubic root of 116556240 is about 488.4781884438.

The spelling of 116556240 in words is "one hundred sixteen million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 10333 11280 20666 30999 41332 51665 61998 82664 103330 123996 154995 165328 206660 247992 309990 413320 485651 495984 619980 826640 971302 1239960 1456953 1942604 2428255 2479920 2913906 3885208 4856510 5827812 7284765 7770416 9713020 11655624 14569530 19426040 23311248 29139060 38852080 58278120 116556240