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145610752 = 211721451
BaseRepresentation
bin10001010110111…
…01100000000000
3101010222210101211
420223131200000
5244234021002
622240535504
73415446100
oct1053354000
9333883354
10145610752
1175214571
1240921594
1324223111
14154a5200
15cbb3dd7
hex8add800

145610752 has 72 divisors (see below), whose sum is σ = 338918580. Its totient is φ = 62361600.

The previous prime is 145610743. The next prime is 145610753. The reversal of 145610752 is 257016541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145610753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99627 + ... + 101077.

Almost surely, 2145610752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169459290).

145610752 is an abundant number, since it is smaller than the sum of its proper divisors (193307828).

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

145610752 is an equidigital number, since it uses as much as digits as its factorization.

145610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 145610752 is about 12066.9280266354. The cubic root of 145610752 is about 526.0953722596.

The spelling of 145610752 in words is "one hundred forty-five million, six hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1451 1568 1792 2048 2902 3136 3584 5804 6272 7168 10157 11608 12544 14336 20314 23216 25088 40628 46432 50176 71099 81256 92864 100352 142198 162512 185728 284396 325024 371456 568792 650048 742912 1137584 1300096 1485824 2275168 2600192 2971648 4550336 5200384 9100672 10400768 18201344 20801536 36402688 72805376 145610752