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19880064 = 273217257
BaseRepresentation
bin100101111010…
…1100010000000
31101102000022200
41023311202000
520042130224
61550033200
7330656241
oct113654200
941360280
1019880064
1110249206
1267a8800
134170969
1428d6cc8
151b2a5c9
hex12f5880

19880064 has 48 divisors (see below), whose sum is σ = 57210270. Its totient is φ = 6626304.

The previous prime is 19880059. The next prime is 19880101. The reversal of 19880064 is 46008891.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19713600 + 166464 = 4440^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7477 + ... + 9780.

Almost surely, 219880064 is an apocalyptic number.

It is an amenable number.

19880064 is an abundant number, since it is smaller than the sum of its proper divisors (37330206).

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

19880064 is a wasteful number, since it uses less digits than its factorization.

19880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 19880064 is about 4458.7065388967. The cubic root of 19880064 is about 270.8980794369.

The spelling of 19880064 in words is "nineteen million, eight hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 17257 34514 51771 69028 103542 138056 155313 207084 276112 310626 414168 552224 621252 828336 1104448 1242504 1656672 2208896 2485008 3313344 4970016 6626688 9940032 19880064