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113445120 = 283531953
BaseRepresentation
bin1101100001100…
…00100100000000
321220110121110010
412300300210000
5213020220440
615131304520
72545160535
oct660604400
9256417403
10113445120
1159044aa8
1231bab140
131a6704b9
14110d0d8c
159e5d580
hex6c30900

113445120 has 144 divisors (see below), whose sum is σ = 374395392. Its totient is φ = 29245440.

The previous prime is 113445103. The next prime is 113445121. The reversal of 113445120 is 21544311.

It is not an unprimeable number, because it can be changed into a prime (113445121) 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, 118564 + ... + 119516.

It is an arithmetic number, because the mean of its divisors is an integer number (2599968).

Almost surely, 2113445120 is an apocalyptic number.

113445120 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 113445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187197696).

113445120 is an abundant number, since it is smaller than the sum of its proper divisors (260950272).

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

113445120 is an equidigital number, since it uses as much as digits as its factorization.

113445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 113445120 is about 10651.0619188887. The cubic root of 113445120 is about 484.0927809746.

Adding to 113445120 its reverse (21544311), we get a palindrome (134989431).

The spelling of 113445120 in words is "one hundred thirteen million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 953 960 992 1240 1280 1488 1860 1906 1920 1984 2480 2859 2976 3720 3812 3840 3968 4765 4960 5718 5952 7440 7624 7936 9530 9920 11436 11904 14295 14880 15248 19060 19840 22872 23808 28590 29543 29760 30496 38120 39680 45744 57180 59086 59520 60992 76240 88629 91488 114360 118172 119040 121984 147715 152480 177258 182976 228720 236344 243968 295430 304960 354516 365952 443145 457440 472688 590860 609920 709032 731904 886290 914880 945376 1181720 1219840 1418064 1772580 1829760 1890752 2363440 2836128 3545160 3659520 3781504 4726880 5672256 7090320 7563008 9453760 11344512 14180640 18907520 22689024 28361280 37815040 56722560 113445120