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145036192 = 2572983269
BaseRepresentation
bin10001010010100…
…01001110100000
3101002220121020211
420221101032200
5244112124232
622220343504
73410534020
oct1051211640
9332817224
10145036192
1174961924
12406a4b94
1324081742
1415395a80
15caeda47
hex8a513a0

145036192 has 96 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 59071488.

The previous prime is 145036169. The next prime is 145036193. The reversal of 145036192 is 291630541.

145036192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145036193) 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, 539034 + ... + 539302.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2145036192 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 145036192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

145036192 is an abundant number, since it is smaller than the sum of its proper divisors (197885408).

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

145036192 is a wasteful number, since it uses less digits than its factorization.

145036192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 145036192 is about 12043.0972760333. The cubic root of 145036192 is about 525.4024934642.

The spelling of 145036192 in words is "one hundred forty-five million, thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 83 112 116 166 203 224 232 269 332 406 464 538 581 664 812 928 1076 1162 1328 1624 1883 2152 2324 2407 2656 3248 3766 4304 4648 4814 6496 7532 7801 8608 9296 9628 15064 15602 16849 18592 19256 22327 30128 31204 33698 38512 44654 54607 60256 62408 67396 77024 89308 109214 124816 134792 156289 178616 218428 249632 269584 312578 357232 436856 539168 625156 647483 714464 873712 1250312 1294966 1747424 2500624 2589932 4532381 5001248 5179864 9064762 10359728 18129524 20719456 36259048 72518096 145036192