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144806680 = 23517613491
BaseRepresentation
bin10001010000110…
…01001100011000
3101002110221102101
420220121030120
5244032303210
622211413144
73405556624
oct1050311430
9332427371
10144806680
1174815447
12405b41b4
1324001135
1415336184
15caa5a3a
hex8a19318

144806680 has 64 divisors (see below), whose sum is σ = 350736480. Its totient is φ = 53606400.

The previous prime is 144806677. The next prime is 144806687. The reversal of 144806680 is 86608441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144806687) 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, 39735 + ... + 43225.

Almost surely, 2144806680 is an apocalyptic number.

144806680 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 144806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175368240).

144806680 is an abundant number, since it is smaller than the sum of its proper divisors (205929800).

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

144806680 is a wasteful number, since it uses less digits than its factorization.

144806680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 144806680 is about 12033.5647253837. The cubic root of 144806680 is about 525.1252067207.

The spelling of 144806680 in words is "one hundred forty-four million, eight hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 3491 4148 5185 6982 8296 10370 13964 17455 20740 27928 34910 41480 59347 69820 118694 139640 212951 237388 296735 425902 474776 593470 851804 1064755 1186940 1703608 2129510 2373880 3620167 4259020 7240334 8518040 14480668 18100835 28961336 36201670 72403340 144806680