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114735740 = 22575231567
BaseRepresentation
bin1101101011010…
…11101001111100
321222220011211212
412311223221330
5213333020430
615215103552
72562144350
oct665535174
9258804755
10114735740
1159846729
1232511bb8
131aa02a92
1411349460
15a115b95
hex6d6ba7c

114735740 has 48 divisors (see below), whose sum is σ = 276068352. Its totient is φ = 39237696.

The previous prime is 114735727. The next prime is 114735749. The reversal of 114735740 is 47537411.

It is a junction number, because it is equal to n+sod(n) for n = 114735697 and 114735706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114735749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72437 + ... + 74003.

It is an arithmetic number, because the mean of its divisors is an integer number (5751424).

Almost surely, 2114735740 is an apocalyptic number.

114735740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114735740 is an abundant number, since it is smaller than the sum of its proper divisors (161332612).

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

114735740 is a wasteful number, since it uses less digits than its factorization.

114735740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 114735740 is about 10711.4770223345. The cubic root of 114735740 is about 485.9216400051.

The spelling of 114735740 in words is "one hundred fourteen million, seven hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 523 1046 1567 2092 2615 3134 3661 5230 6268 7322 7835 10460 10969 14644 15670 18305 21938 31340 36610 43876 54845 73220 109690 219380 819541 1639082 3278164 4097705 5736787 8195410 11473574 16390820 22947148 28683935 57367870 114735740