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115171840 = 29576427
BaseRepresentation
bin1101101110101…
…10001000000000
322000201100001201
412313112020000
5213440444330
615232310544
72565641650
oct667261000
9260640051
10115171840
115a014343
12326a2454
131ab26424
1411420360
15a19eeca
hex6dd6200

115171840 has 80 divisors (see below), whose sum is σ = 315640512. Its totient is φ = 39481344.

The previous prime is 115171811. The next prime is 115171841. The reversal of 115171840 is 48171511.

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 115171799 and 115171808.

It is not an unprimeable number, because it can be changed into a prime (115171841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14707 + ... + 21133.

Almost surely, 2115171840 is an apocalyptic number.

115171840 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 115171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157820256).

115171840 is an abundant number, since it is smaller than the sum of its proper divisors (200468672).

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

115171840 is an frugal number, since it uses more digits than its factorization.

115171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

The square root of 115171840 is about 10731.8143852752. The cubic root of 115171840 is about 486.5365094686.

The spelling of 115171840 in words is "one hundred fifteen million, one hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 6427 8960 12854 17920 25708 32135 44989 51416 64270 89978 102832 128540 179956 205664 224945 257080 359912 411328 449890 514160 719824 822656 899780 1028320 1439648 1645312 1799560 2056640 2879296 3290624 3599120 4113280 5758592 7198240 8226560 11517184 14396480 16453120 23034368 28792960 57585920 115171840