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145612020 = 223537107613
BaseRepresentation
bin10001010110111…
…01110011110100
3101010222212010210
420223131303310
5244234041040
622240545420
73415452561
oct1053356364
9333885123
10145612020
1175215514
1240922270
1324223878
14154a5868
15cbb4480
hex8addcf4

145612020 has 96 divisors (see below), whose sum is σ = 423335808. Its totient is φ = 37366272.

The previous prime is 145612009. The next prime is 145612037. The reversal of 145612020 is 20216541.

145612020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237234 + ... + 237846.

It is an arithmetic number, because the mean of its divisors is an integer number (4409748).

Almost surely, 2145612020 is an apocalyptic number.

145612020 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 145612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211667904).

145612020 is an abundant number, since it is smaller than the sum of its proper divisors (277723788).

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

145612020 is a wasteful number, since it uses less digits than its factorization.

145612020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 145612020 is about 12066.9805668195. The cubic root of 145612020 is about 526.0968993606.

Adding to 145612020 its reverse (20216541), we get a palindrome (165828561).

The spelling of 145612020 in words is "one hundred forty-five million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 107 111 148 185 214 222 321 370 428 444 535 555 613 642 740 1070 1110 1226 1284 1605 1839 2140 2220 2452 3065 3210 3678 3959 6130 6420 7356 7918 9195 11877 12260 15836 18390 19795 22681 23754 36780 39590 45362 47508 59385 65591 68043 79180 90724 113405 118770 131182 136086 196773 226810 237540 262364 272172 327955 340215 393546 453620 655910 680430 787092 983865 1311820 1360860 1967730 2426867 3935460 4853734 7280601 9707468 12134335 14561202 24268670 29122404 36403005 48537340 72806010 145612020