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114933780 = 223251349117
BaseRepresentation
bin1101101100111…
…00000000010100
322000021020111200
412312130000110
5213410340110
615223232500
72563630623
oct666340024
9260236450
10114933780
11599714a5
12325a8730
131aa71c70
141139b6ba
15a1546c0
hex6d9c014

114933780 has 72 divisors (see below), whose sum is σ = 375457992. Its totient is φ = 28290816.

The previous prime is 114933779. The next prime is 114933781. The reversal of 114933780 is 87339411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114933779) and next prime (114933781).

It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 100280196 = 3828^2 + 10014^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114933781) 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 23 ways as a sum of consecutive naturals, for example, 22219 + ... + 26898.

Almost surely, 2114933780 is an apocalyptic number.

114933780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114933780 is an abundant number, since it is smaller than the sum of its proper divisors (260524212).

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

114933780 is a wasteful number, since it uses less digits than its factorization.

114933780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49145 (or 49140 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 114933780 is about 10720.7173267464. The cubic root of 114933780 is about 486.2010548514.

The spelling of 114933780 in words is "one hundred fourteen million, nine hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 49117 98234 147351 196468 245585 294702 442053 491170 589404 638521 736755 884106 982340 1277042 1473510 1768212 1915563 2210265 2554084 2947020 3192605 3831126 4420530 5746689 6385210 7662252 8841060 9577815 11493378 12770420 19155630 22986756 28733445 38311260 57466890 114933780