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145086576 = 243231131163
BaseRepresentation
bin10001010010111…
…01100001110000
3101010000011100220
420221131201300
5244120232301
622221413040
73411133635
oct1051354160
9333004326
10145086576
1174996768
124070a180
132409b65b
14153aa18c
15cb0d936
hex8a5d870

145086576 has 80 divisors (see below), whose sum is σ = 394903296. Its totient is φ = 45810688.

The previous prime is 145086559. The next prime is 145086587. The reversal of 145086576 is 675680541.

It is a super-2 number, since 2×1450865762 = 42100229070807552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124171 + ... + 125333.

Almost surely, 2145086576 is an apocalyptic number.

145086576 is a gapful number since it is divisible by the number (16) 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 145086576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197451648).

145086576 is an abundant number, since it is smaller than the sum of its proper divisors (249816720).

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

145086576 is a wasteful number, since it uses less digits than its factorization.

145086576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 145086576 is about 12045.1889150814. The cubic root of 145086576 is about 525.4633261298.

The spelling of 145086576 in words is "one hundred forty-five million, eighty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 226 276 339 368 452 552 678 904 1104 1163 1356 1808 2326 2599 2712 3489 4652 5198 5424 6978 7797 9304 10396 13956 15594 18608 20792 26749 27912 31188 41584 53498 55824 62376 80247 106996 124752 131419 160494 213992 262838 320988 394257 427984 525676 641976 788514 1051352 1283952 1577028 2102704 3022637 3154056 6045274 6308112 9067911 12090548 18135822 24181096 36271644 48362192 72543288 145086576