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19880352 = 253269029
BaseRepresentation
bin100101111010…
…1100110100000
31101102000201100
41023311212200
520042132402
61550034400
7330660132
oct113654640
941360640
1019880352
1110249448
1267a8a00
134170b2b
1428d7052
151b2a71c
hex12f59a0

19880352 has 36 divisors (see below), whose sum is σ = 56535570. Its totient is φ = 6626688.

The previous prime is 19880347. The next prime is 19880363. The reversal of 19880352 is 25308891.

It can be written as a sum of positive squares in only one way, i.e., 18352656 + 1527696 = 4284^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 34227 + ... + 34802.

Almost surely, 219880352 is an apocalyptic number.

19880352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19880352 is an abundant number, since it is smaller than the sum of its proper divisors (36655218).

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

19880352 is a wasteful number, since it uses less digits than its factorization.

19880352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69045 (or 69034 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 19880352 is about 4458.7388351416. The cubic root of 19880352 is about 270.8993875861.

The spelling of 19880352 in words is "nineteen million, eight hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69029 138058 207087 276116 414174 552232 621261 828348 1104464 1242522 1656696 2208928 2485044 3313392 4970088 6626784 9940176 19880352