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18880064 = 267173767
BaseRepresentation
bin100100000000…
…1011001000000
31022112012120122
41020001121000
514313130224
61512355412
7316322630
oct110013100
938465518
1018880064
11a725965
1263a5b68
133bb0748
1427166c0
1519ce15e
hex1201640

18880064 has 112 divisors (see below), whose sum is σ = 47256192. Its totient is φ = 7299072.

The previous prime is 18880061. The next prime is 18880087. The reversal of 18880064 is 46008881.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (18880061) 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, 281759 + ... + 281825.

Almost surely, 218880064 is an apocalyptic number.

18880064 is a gapful number since it is divisible by the number (14) 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 18880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628096).

18880064 is an abundant number, since it is smaller than the sum of its proper divisors (28376128).

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

18880064 is a wasteful number, since it uses less digits than its factorization.

18880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 18880064 is about 4345.1195610708. The cubic root of 18880064 is about 266.2775101435.

The spelling of 18880064 in words is "eighteen million, eight hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 67 68 74 112 119 134 136 148 224 238 259 268 272 296 448 469 476 518 536 544 592 629 938 952 1036 1072 1088 1139 1184 1258 1876 1904 2072 2144 2278 2368 2479 2516 3752 3808 4144 4288 4403 4556 4958 5032 7504 7616 7973 8288 8806 9112 9916 10064 15008 15946 16576 17353 17612 18224 19832 20128 30016 31892 34706 35224 36448 39664 40256 42143 63784 69412 70448 72896 79328 84286 127568 138824 140896 158656 168572 255136 277648 281792 295001 337144 510272 555296 590002 674288 1110592 1180004 1348576 2360008 2697152 4720016 9440032 18880064