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114737020 = 2257389883
BaseRepresentation
bin1101101011010…
…11111101111100
321222220020121021
412311223331330
5213333041040
615215113524
72562151156
oct665537574
9258806537
10114737020
1159847692
12325128a4
131aa03538
1411349ad6
15a11624a
hex6d6bf7c

114737020 has 48 divisors (see below), whose sum is σ = 247272480. Its totient is φ = 44706816.

The previous prime is 114737017. The next prime is 114737023. The reversal of 114737020 is 20737411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114737017) and next prime (114737023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114737023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129499 + ... + 130381.

It is an arithmetic number, because the mean of its divisors is an integer number (5151510).

Almost surely, 2114737020 is an apocalyptic number.

114737020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114737020 is an abundant number, since it is smaller than the sum of its proper divisors (132535460).

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

114737020 is a wasteful number, since it uses less digits than its factorization.

114737020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 114737020 is about 10711.5367711641. The cubic root of 114737020 is about 485.9234469904.

The spelling of 114737020 in words is "one hundred fourteen million, seven hundred thirty-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 73 89 146 178 292 356 365 445 730 883 890 1460 1766 1780 3532 4415 6497 8830 12994 17660 25988 32485 64459 64970 78587 128918 129940 157174 257836 314348 322295 392935 644590 785870 1289180 1571740 5736851 11473702 22947404 28684255 57368510 114737020