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145411280 = 24571032521
BaseRepresentation
bin10001010101011…
…00110011010000
3101010121122202222
420222230303100
5244211130110
622232400212
73413655410
oct1052546320
9333548688
10145411280
1175098713
1240846068
13241833a1
1415452640
15cb74c55
hex8aaccd0

145411280 has 80 divisors (see below), whose sum is σ = 390284544. Its totient is φ = 49351680.

The previous prime is 145411261. The next prime is 145411289. The reversal of 145411280 is 82114541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1454112802 = 42288880702476800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145411289) 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, 56420 + ... + 58940.

Almost surely, 2145411280 is an apocalyptic number.

145411280 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 145411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195142272).

145411280 is an abundant number, since it is smaller than the sum of its proper divisors (244873264).

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

145411280 is a wasteful number, since it uses less digits than its factorization.

145411280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 145411280 is about 12058.6599587185. The cubic root of 145411280 is about 525.8550299982.

The spelling of 145411280 in words is "one hundred forty-five million, four hundred eleven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 515 560 721 824 1030 1442 1648 2060 2521 2884 3605 4120 5042 5768 7210 8240 10084 11536 12605 14420 17647 20168 25210 28840 35294 40336 50420 57680 70588 88235 100840 141176 176470 201680 259663 282352 352940 519326 705880 1038652 1298315 1411760 1817641 2077304 2596630 3635282 4154608 5193260 7270564 9088205 10386520 14541128 18176410 20773040 29082256 36352820 72705640 145411280