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145926520 = 23537432293
BaseRepresentation
bin10001011001010…
…10100101111000
3101011120211112221
420230222211320
5244324122040
622251413424
73421232515
oct1054524570
9334524487
10145926520
117540a833
1240a54274
1324303a6c
141554830c
15cc2774a
hex8b2a978

145926520 has 64 divisors (see below), whose sum is σ = 345201120. Its totient is φ = 55448064.

The previous prime is 145926499. The next prime is 145926523. The reversal of 145926520 is 25629541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145926523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62494 + ... + 64786.

Almost surely, 2145926520 is an apocalyptic number.

145926520 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 145926520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172600560).

145926520 is an abundant number, since it is smaller than the sum of its proper divisors (199274600).

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

145926520 is a wasteful number, since it uses less digits than its factorization.

145926520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 145926520 is about 12080.0049668864. The cubic root of 145926520 is about 526.4753903133.

It can be divided in two parts, 14592 and 6520, that added together give a palindrome (21112).

The spelling of 145926520 in words is "one hundred forty-five million, nine hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 43 74 86 148 172 185 215 296 344 370 430 740 860 1480 1591 1720 2293 3182 4586 6364 7955 9172 11465 12728 15910 18344 22930 31820 45860 63640 84841 91720 98599 169682 197198 339364 394396 424205 492995 678728 788792 848410 985990 1696820 1971980 3393640 3648163 3943960 7296326 14592652 18240815 29185304 36481630 72963260 145926520