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119905056 = 25331071297
BaseRepresentation
bin1110010010110…
…01101100100000
322100121210211000
413021121230200
5221143430211
615521552000
72654114265
oct711315440
9270553730
10119905056
1161757497
12341a5600
131bac294b
1411cd326c
15a7d7656
hex7259b20

119905056 has 96 divisors (see below), whose sum is σ = 353263680. Its totient is φ = 39564288.

The previous prime is 119905031. The next prime is 119905057. The reversal of 119905056 is 650509911.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 119905056.

It is not an unprimeable number, because it can be changed into a prime (119905057) 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, 91800 + ... + 93096.

It is an arithmetic number, because the mean of its divisors is an integer number (3679830).

Almost surely, 2119905056 is an apocalyptic number.

119905056 is a gapful number since it is divisible by the number (16) 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 119905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176631840).

119905056 is an abundant number, since it is smaller than the sum of its proper divisors (233358624).

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

119905056 is a wasteful number, since it uses less digits than its factorization.

119905056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 119905056 is about 10950.1167117068. The cubic root of 119905056 is about 493.1122960772.

The spelling of 119905056 in words is "one hundred nineteen million, nine hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1297 1712 1926 2568 2594 2889 3424 3852 3891 5136 5188 5778 7704 7782 10272 10376 11556 11673 15408 15564 20752 23112 23346 30816 31128 35019 41504 46224 46692 62256 70038 92448 93384 124512 138779 140076 186768 277558 280152 373536 416337 555116 560304 832674 1110232 1120608 1249011 1665348 2220464 2498022 3330696 3747033 4440928 4996044 6661392 7494066 9992088 13322784 14988132 19984176 29976264 39968352 59952528 119905056