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1472110080 = 29357139197
BaseRepresentation
bin101011110111110…
…1001111000000000
310210121000221101120
41113233221320000
511003330010310
6402024232240
751323505060
oct12757517000
93717027346
101472110080
11695a71101
1235100b680
131a5ca886c
14dd7233a0
158938ab70
hex57be9e00

1472110080 has 320 divisors, whose sum is σ = 5444651520. Its totient is φ = 332365824.

The previous prime is 1472110069. The next prime is 1472110091. The reversal of 1472110080 is 800112741.

1472110080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1472110069) and next prime (1472110091).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1472110080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7472542 + ... + 7472738.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 21472110080 is an apocalyptic number.

1472110080 is a gapful number since it is divisible by the number (10) 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 1472110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722325760).

1472110080 is an abundant number, since it is smaller than the sum of its proper divisors (3972541440).

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

1472110080 is a wasteful number, since it uses less digits than its factorization.

1472110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1472110080 is about 38368.0867388511. The cubic root of 1472110080 is about 1137.5751474727.

The spelling of 1472110080 in words is "one billion, four hundred seventy-two million, one hundred ten thousand, eighty".