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114713040 = 24351336767
BaseRepresentation
bin1101101011001…
…10000111010000
321222212000201010
412311212013100
5213331304130
615214410520
72562021231
oct665460720
9258760633
10114713040
1159830672
1232500a40
131a9c5650
1411341088
15a10e0b0
hex6d661d0

114713040 has 80 divisors (see below), whose sum is σ = 382975488. Its totient is φ = 28236288.

The previous prime is 114713023. The next prime is 114713047. The reversal of 114713040 is 40317411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114712998 and 114713016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114713047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15264 + ... + 21503.

Almost surely, 2114713040 is an apocalyptic number.

114713040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114713040 is an abundant number, since it is smaller than the sum of its proper divisors (268262448).

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

114713040 is a wasteful number, since it uses less digits than its factorization.

114713040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36796 (or 36790 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114713040 is about 10710.4173588147. The cubic root of 114713040 is about 485.8895920174.

The spelling of 114713040 in words is "one hundred fourteen million, seven hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 36767 73534 110301 147068 183835 220602 294136 367670 441204 477971 551505 588272 735340 882408 955942 1103010 1433913 1470680 1764816 1911884 2206020 2389855 2867826 2941360 3823768 4412040 4779710 5735652 7169565 7647536 8824080 9559420 11471304 14339130 19118840 22942608 28678260 38237680 57356520 114713040