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113995520 = 285293783
BaseRepresentation
bin1101100101101…
…10111100000000
321221111120110022
412302312330000
5213140324040
615151153012
72552642312
oct662667400
9257446408
10113995520
1159390581
1232215768
131a803b92
14111d57b2
15a01b6b5
hex6cb6f00

113995520 has 144 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 42319872.

The previous prime is 113995507. The next prime is 113995543. The reversal of 113995520 is 25599311.

It is a congruent number.

It is an unprimeable number.

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, 1373399 + ... + 1373481.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890).

Almost surely, 2113995520 is an apocalyptic number.

113995520 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 113995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

113995520 is an abundant number, since it is smaller than the sum of its proper divisors (179604640).

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

113995520 is an equidigital number, since it uses as much as digits as its factorization.

113995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 35.

The square root of 113995520 is about 10676.8684547483. The cubic root of 113995520 is about 484.8744068464.

The spelling of 113995520 in words is "one hundred thirteen million, nine hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 83 116 128 145 148 160 166 185 232 256 290 296 320 332 370 415 464 580 592 640 664 740 830 928 1073 1160 1184 1280 1328 1480 1660 1856 2146 2320 2368 2407 2656 2960 3071 3320 3712 4292 4640 4736 4814 5312 5365 5920 6142 6640 7424 8584 9280 9472 9628 10624 10730 11840 12035 12284 13280 15355 17168 18560 19256 21248 21460 23680 24070 24568 26560 30710 34336 37120 38512 42920 47360 48140 49136 53120 61420 68672 77024 85840 89059 96280 98272 106240 122840 137344 154048 171680 178118 192560 196544 245680 274688 308096 343360 356236 385120 393088 445295 491360 616192 686720 712472 770240 786176 890590 982720 1373440 1424944 1540480 1781180 1965440 2849888 3080960 3562360 3930880 5699776 7124720 11399552 14249440 22799104 28498880 56997760 113995520