Search a number
-
+
145337436 = 223311311909
BaseRepresentation
bin10001010100110…
…10110001011100
3101010110220111000
420222122301130
5244201244221
622231030300
73413230206
oct1052326134
9333426430
10145337436
1175048192
124080b390
13241588aa
1415433776
15cb5ce26
hex8a9ac5c

145337436 has 48 divisors (see below), whose sum is σ = 380167200. Its totient is φ = 48013056.

The previous prime is 145337419. The next prime is 145337447. The reversal of 145337436 is 634733541.

It is a super-2 number, since 2×1453374362 = 42245940606108192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145337436.

It is a congruent number.

It is an unprimeable number.

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, 6250 + ... + 18158.

It is an arithmetic number, because the mean of its divisors is an integer number (7920150).

Almost surely, 2145337436 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 145337436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190083600).

145337436 is an abundant number, since it is smaller than the sum of its proper divisors (234829764).

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

145337436 is a wasteful number, since it uses less digits than its factorization.

145337436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12027 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 145337436 is about 12055.5977039714. The cubic root of 145337436 is about 525.7660001927.

The spelling of 145337436 in words is "one hundred forty-five million, three hundred thirty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 11909 12204 23818 35727 47636 71454 107181 142908 214362 321543 428724 643086 1286172 1345717 2691434 4037151 5382868 8074302 12111453 16148604 24222906 36334359 48445812 72668718 145337436