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115652320 = 2557313331
BaseRepresentation
bin1101110010010…
…11011011100000
322001121202011021
412321023123200
5214101333240
615250455224
72603012530
oct671133340
9261552137
10115652320
115a312333
1232894514
131ac64034
14115074c0
15a24754a
hex6e4b6e0

115652320 has 96 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 38361600.

The previous prime is 115652311. The next prime is 115652321. The reversal of 115652320 is 23256511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115652321) 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, 33055 + ... + 36385.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2115652320 is an apocalyptic number.

115652320 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 115652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

115652320 is an abundant number, since it is smaller than the sum of its proper divisors (206778656).

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

115652320 is a wasteful number, since it uses less digits than its factorization.

115652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 115652320 is about 10754.1768629682. The cubic root of 115652320 is about 487.2121570553.

The spelling of 115652320 in words is "one hundred fifteen million, six hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3331 3472 4340 4960 6662 6944 8680 13324 16655 17360 23317 26648 33310 34720 46634 53296 66620 93268 103261 106592 116585 133240 186536 206522 233170 266480 373072 413044 466340 516305 532960 722827 746144 826088 932680 1032610 1445654 1652176 1865360 2065220 2891308 3304352 3614135 3730720 4130440 5782616 7228270 8260880 11565232 14456540 16521760 23130464 28913080 57826160 115652320