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113554944 = 2932191297
BaseRepresentation
bin1101100010010…
…11011000000000
321220200012002200
412301023120000
5213032224234
615133513200
72546125656
oct661133000
9256605080
10113554944
115910a568
1232042800
131a6ab499
141111cdd6
159e80d99
hex6c4b600

113554944 has 120 divisors (see below), whose sum is σ = 345242040. Its totient is φ = 35831808.

The previous prime is 113554921. The next prime is 113554949. The reversal of 113554944 is 449455311.

It is a happy number.

113554944 is a `hidden beast` number, since 1 + 13 + 554 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 113554899 and 113554908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113554949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86904 + ... + 88200.

It is an arithmetic number, because the mean of its divisors is an integer number (2877017).

Almost surely, 2113554944 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 113554944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172621020).

113554944 is an abundant number, since it is smaller than the sum of its proper divisors (231687096).

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

113554944 is a wasteful number, since it uses less digits than its factorization.

113554944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1321 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 113554944 is about 10656.2162140227. The cubic root of 113554944 is about 484.2489441743.

The spelling of 113554944 in words is "one hundred thirteen million, five hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1297 1368 1536 1824 2304 2432 2594 2736 3648 3891 4608 4864 5188 5472 7296 7782 9728 10376 10944 11673 14592 15564 20752 21888 23346 24643 29184 31128 41504 43776 46692 49286 62256 73929 83008 87552 93384 98572 124512 147858 166016 186768 197144 221787 249024 295716 332032 373536 394288 443574 498048 591432 664064 747072 788576 887148 996096 1182864 1494144 1577152 1774296 1992192 2365728 2988288 3154304 3548592 4731456 5976576 6308608 7097184 9462912 12617216 14194368 18925824 28388736 37851648 56777472 113554944