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114735712 = 2571331241
BaseRepresentation
bin1101101011010…
…11101001100000
321222220011210211
412311223221200
5213333020322
615215103504
72562144310
oct665535140
9258804724
10114735712
1159846703
1232511b94
131aa02a70
1411349440
15a115b77
hex6d6ba60

114735712 has 144 divisors (see below), whose sum is σ = 294277536. Its totient is φ = 42854400.

The previous prime is 114735701. The next prime is 114735727. The reversal of 114735712 is 217537411.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2798412 + ... + 2798452.

It is an arithmetic number, because the mean of its divisors is an integer number (2043594).

Almost surely, 2114735712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114735712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147138768).

114735712 is an abundant number, since it is smaller than the sum of its proper divisors (179541824).

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

114735712 is a wasteful number, since it uses less digits than its factorization.

114735712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 114735712 is about 10711.4757153251. The cubic root of 114735712 is about 485.9216004772.

The spelling of 114735712 in words is "one hundred fourteen million, seven hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 41 52 56 62 82 91 104 112 124 164 182 208 217 224 248 287 328 364 403 416 434 496 533 574 656 728 806 868 961 992 1066 1148 1271 1312 1456 1612 1736 1922 2132 2296 2542 2821 2912 3224 3472 3731 3844 4264 4592 5084 5642 6448 6727 6944 7462 7688 8528 8897 9184 10168 11284 12493 12896 13454 14924 15376 16523 17056 17794 20336 22568 24986 26908 29848 30752 33046 35588 39401 40672 45136 49972 53816 59696 66092 71176 78802 87451 90272 99944 107632 115661 119392 132184 142352 157604 174902 199888 215264 231322 264368 275807 284704 315208 349804 399776 462644 512213 528736 551614 630416 699608 925288 1024426 1103228 1260832 1399216 1850576 2048852 2206456 2798432 3585491 3701152 4097704 4412912 7170982 8195408 8825824 14341964 16390816 28683928 57367856 114735712