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116052960 = 2535415897
BaseRepresentation
bin1101110101011…
…01001111100000
322002101002201210
412322231033200
5214202143320
615303230120
72606301552
oct672551740
9262332653
10116052960
115a566341
1232a48340
131b0744ba
14115ad4d2
15a2c60e0
hex6ead3e0

116052960 has 96 divisors (see below), whose sum is σ = 374546592. Its totient is φ = 30187520.

The previous prime is 116052947. The next prime is 116052961. The reversal of 116052960 is 69250611.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116052961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16732 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (3901527).

Almost surely, 2116052960 is an apocalyptic number.

116052960 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 116052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187273296).

116052960 is an abundant number, since it is smaller than the sum of its proper divisors (258493632).

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

116052960 is a wasteful number, since it uses less digits than its factorization.

116052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 116052960 is about 10772.7879399903. The cubic root of 116052960 is about 487.7741048912.

The spelling of 116052960 in words is "one hundred sixteen million, fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 5897 6560 9840 11794 17691 19680 23588 29485 35382 47176 58970 70764 88455 94352 117940 141528 176910 188704 235880 241777 283056 353820 471760 483554 566112 707640 725331 943520 967108 1208885 1415280 1450662 1934216 2417770 2830560 2901324 3626655 3868432 4835540 5802648 7253310 7736864 9671080 11605296 14506620 19342160 23210592 29013240 38684320 58026480 116052960