Search a number
147026880 = 263357111317
BaseRepresentation
bin10001100001101…
…11001111000000
3101020122201222000
420300313033000
5300114330010
622331144000
73433464540
oct1060671700
9336581860
10147026880
1175aa1520
12412a5000
13245ca870
1415753320
15cd937c0
hex8c373c0

147026880 has 896 divisors, whose sum is σ = 737372160. Its totient is φ = 26542080.

The previous prime is 147026849. The next prime is 147026903. The reversal of 147026880 is 88620741.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648632 + ... + 8648648.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

147026880 is a highly composite number, because it has more divisors than any smaller number.

147026880 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2147026880 is an apocalyptic number.

147026880 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 147026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

147026880 is an abundant number, since it is smaller than the sum of its proper divisors (590345280).

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

147026880 is a wasteful number, since it uses less digits than its factorization.

147026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 147026880 is about 12125.4641148288. The cubic root of 147026880 is about 527.7953752540.

The spelling of 147026880 in words is "one hundred forty-seven million, twenty-six thousand, eight hundred eighty".