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114477840 = 2433552999
BaseRepresentation
bin1101101001011…
…00101100010000
321222102002002000
412310230230100
5213301242330
615205354000
72560021431
oct664545420
9258362060
10114477840
115968a994
1232408900
131a942589
14112bd488
15a0b4560
hex6d2cb10

114477840 has 80 divisors (see below), whose sum is σ = 394320000. Its totient is φ = 30526848.

The previous prime is 114477829. The next prime is 114477919. The reversal of 114477840 is 48774411.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 114477795 and 114477804.

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, 24340 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (4929000).

Almost surely, 2114477840 is an apocalyptic number.

114477840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114477840 is an abundant number, since it is smaller than the sum of its proper divisors (279842160).

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

114477840 is a wasteful number, since it uses less digits than its factorization.

114477840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53021 (or 53009 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 114477840 is about 10699.4317606123. The cubic root of 114477840 is about 485.5572862162.

The spelling of 114477840 in words is "one hundred fourteen million, four hundred seventy-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 52999 105998 158997 211996 264995 317994 423992 476991 529990 635988 794985 847984 953982 1059980 1271976 1430973 1589970 1907964 2119960 2384955 2543952 2861946 3179940 3815928 4239920 4769910 5723892 6359880 7154865 7631856 9539820 11447784 12719760 14309730 19079640 22895568 28619460 38159280 57238920 114477840