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113543040 = 2735134549
BaseRepresentation
bin1101100010010…
…00011110000000
321220122120202210
412301020132000
5213031334130
615133342120
72546046162
oct661103600
9256576683
10113543040
1159101626
1232037940
131a6a5c40
1411118932
159e7c5b0
hex6c48780

113543040 has 128 divisors (see below), whose sum is σ = 389844000. Its totient is φ = 27942912.

The previous prime is 113543039. The next prime is 113543041. The reversal of 113543040 is 40345311.

It is an interprime number because it is at equal distance from previous prime (113543039) and next prime (113543041).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 113542998 and 113543016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113543041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22686 + ... + 27234.

Almost surely, 2113543040 is an apocalyptic number.

113543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194922000).

113543040 is an abundant number, since it is smaller than the sum of its proper divisors (276300960).

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

113543040 is a wasteful number, since it uses less digits than its factorization.

113543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 113543040 is about 10655.6576521583. The cubic root of 113543040 is about 484.2320222606.

Adding to 113543040 its reverse (40345311), we get a palindrome (153888351).

The spelling of 113543040 in words is "one hundred thirteen million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4549 4992 6240 8320 9098 12480 13647 18196 22745 24960 27294 36392 45490 54588 59137 68235 72784 90980 109176 118274 136470 145568 177411 181960 218352 236548 272940 291136 295685 354822 363920 436704 473096 545880 582272 591370 709644 727840 873408 887055 946192 1091760 1182740 1419288 1455680 1746816 1774110 1892384 2183520 2365480 2838576 2911360 3548220 3784768 4367040 4730960 5677152 7096440 7569536 8734080 9461920 11354304 14192880 18923840 22708608 28385760 37847680 56771520 113543040