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144670680 = 2332571117307
BaseRepresentation
bin10001001111101…
…11111111011000
3101002020000212100
420213313333120
5244013430210
622204443400
73404452260
oct1047677730
9332200770
10144670680
1174732250
1240549560
1323c8426b
14152dc7a0
15ca7a5c0
hex89f7fd8

144670680 has 384 divisors, whose sum is σ = 622702080. Its totient is φ = 28200960.

The previous prime is 144670679. The next prime is 144670699. The reversal of 144670680 is 86076441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471087 + ... + 471393.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2144670680 is an apocalyptic number.

144670680 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 144670680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

144670680 is an abundant number, since it is smaller than the sum of its proper divisors (478031400).

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

144670680 is a wasteful number, since it uses less digits than its factorization.

144670680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 144670680 is about 12027.9125370947. The cubic root of 144670680 is about 524.9607589718.

The spelling of 144670680 in words is "one hundred forty-four million, six hundred seventy thousand, six hundred eighty".